465065760 has 96 divisors (see below), whose sum is σ = 1486924992. Its totient is φ = 122158080.

The previous prime is 465065759. The next prime is 465065767. The reversal of 465065760 is 67560564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×465065760² = 432572322248755200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (465065767) 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, 24930 + ... + 39390.

It is an arithmetic number, because the mean of its divisors is an integer number (15488802).

Almost surely, 2^465065760 is an apocalyptic number.

465065760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743462496).

465065760 is an abundant number, since it is smaller than the sum of its proper divisors (1021859232).

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

465065760 is a wasteful number, since it uses less digits than its factorization.

465065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14546 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 465065760 is about 21565.3833724328. The cubic root of 465065760 is about 774.7676084351.

The spelling of 465065760 in words is "four hundred sixty-five million, sixty-five thousand, seven hundred sixty".