465076960 has 48 divisors (see below), whose sum is σ = 1100234016. Its totient is φ = 185778688.

The previous prime is 465076943. The next prime is 465076967. The reversal of 465076960 is 69670564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465076967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155802 + ... + 158758.

It is an arithmetic number, because the mean of its divisors is an integer number (22921542).

Almost surely, 2^465076960 is an apocalyptic number.

465076960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465076960 is an abundant number, since it is smaller than the sum of its proper divisors (635157056).

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

465076960 is a wasteful number, since it uses less digits than its factorization.

465076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 465076960 is about 21565.6430462901. The cubic root of 465076960 is about 774.7738278620.

The spelling of 465076960 in words is "four hundred sixty-five million, seventy-six thousand, nine hundred sixty".