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464864620 = 2251110120921
BaseRepresentation
bin11011101101010…
…100010101101100
31012101201120101011
4123231110111230
51423001131440
6114043355004
714343166303
oct3355242554
91171646334
10464864620
11219449740
1210b822a64
137540282c
1445a4b43a
152ac279ea
hex1bb5456c

464864620 has 48 divisors (see below), whose sum is σ = 1075558176. Its totient is φ = 167360000.

The previous prime is 464864593. The next prime is 464864627. The reversal of 464864620 is 26468464.

It is a super-2 number, since 2×4648646202 = 432198229855488800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464864627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11760 + ... + 32680.

It is an arithmetic number, because the mean of its divisors is an integer number (22407462).

Almost surely, 2464864620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464864620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537779088).

464864620 is an abundant number, since it is smaller than the sum of its proper divisors (610693556).

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

464864620 is a wasteful number, since it uses less digits than its factorization.

464864620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042 (or 21040 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 464864620 is about 21560.7193757537. The cubic root of 464864620 is about 774.6558971877.

The spelling of 464864620 in words is "four hundred sixty-four million, eight hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 20921 22220 41842 83684 104605 209210 230131 418420 460262 920524 1150655 2113021 2301310 4226042 4602620 8452084 10565105 21130210 23243231 42260420 46486462 92972924 116216155 232432310 464864620