465768576 has 256 divisors, whose sum is σ = 1693036800. Its totient is φ = 122757120.

The previous prime is 465768571. The next prime is 465768577. The reversal of 465768576 is 675867564.

465768576 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (465768571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313756 + ... + 315236.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^465768576 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 465768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

465768576 is an abundant number, since it is smaller than the sum of its proper divisors (1227268224).

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

465768576 is a wasteful number, since it uses less digits than its factorization.

465768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 465768576 is about 21581.6722243667. The cubic root of 465768576 is about 775.1576930587.

The spelling of 465768576 in words is "four hundred sixty-five million, seven hundred sixty-eight thousand, five hundred seventy-six".