Search a number
-
+
464489460 = 223252580497
BaseRepresentation
bin11011101011111…
…000101111110100
31012101000111202100
4123223320233310
51422402130320
6114031342100
714340044451
oct3353705764
91171014670
10464489460
11219212896
1210b681930
1375300b46
1445990828
152aba1790
hex1baf8bf4

464489460 has 36 divisors (see below), whose sum is σ = 1408951908. Its totient is φ = 123863808.

The previous prime is 464489429. The next prime is 464489479. The reversal of 464489460 is 64984464.

464489460 is a `hidden beast` number, since 464 + 48 + 94 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 290566116 + 173923344 = 17046^2 + 13188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290069 + ... + 1290428.

It is an arithmetic number, because the mean of its divisors is an integer number (39137553).

Almost surely, 2464489460 is an apocalyptic number.

It is an amenable number.

464489460 is an abundant number, since it is smaller than the sum of its proper divisors (944462448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464489460 is a wasteful number, since it uses less digits than its factorization.

464489460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580512 (or 2580507 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 464489460 is about 21552.0175389684. The cubic root of 464489460 is about 774.4474507507.

It can be divided in two parts, 46 and 4489460, that added together give a triangular number (4489506 = T2996).

The spelling of 464489460 in words is "four hundred sixty-four million, four hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2580497 5160994 7741491 10321988 12902485 15482982 23224473 25804970 30965964 38707455 46448946 51609940 77414910 92897892 116122365 154829820 232244730 464489460