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461504420 = 225131775017
BaseRepresentation
bin11011100000011…
…111111110100100
31012011101212001022
4123200133332210
51421121120140
6113443350312
714302502636
oct3340377644
91164355038
10461504420
11217564113
1210a682398
13747c7250
1445414a56
152a7b20b5
hex1b81ffa4

461504420 has 24 divisors (see below), whose sum is σ = 1043710584. Its totient is φ = 170401536.

The previous prime is 461504371. The next prime is 461504429. The reversal of 461504420 is 24405164.

It can be written as a sum of positive squares in 4 ways, for example, as 39037504 + 422466916 = 6248^2 + 20554^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 461504420.

It is not an unprimeable number, because it can be changed into a prime (461504429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887249 + ... + 887768.

It is an arithmetic number, because the mean of its divisors is an integer number (43487941).

Almost surely, 2461504420 is an apocalyptic number.

It is an amenable number.

461504420 is an abundant number, since it is smaller than the sum of its proper divisors (582206164).

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

461504420 is a wasteful number, since it uses less digits than its factorization.

461504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775039 (or 1775037 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 461504420 is about 21482.6539328827. The cubic root of 461504420 is about 772.7848894943.

Adding to 461504420 its reverse (24405164), we get a palindrome (485909584).

The spelling of 461504420 in words is "four hundred sixty-one million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1775017 3550034 7100068 8875085 17750170 23075221 35500340 46150442 92300884 115376105 230752210 461504420