465042565728 has 576 divisors, whose sum is σ = 1556000409600. Its totient is φ = 130467594240.

The previous prime is 465042565657. The next prime is 465042565733. The reversal of 465042565728 is 827565240564.

465042565728 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 4 + 2 + 565 + 72 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 500583568 + ... + 500584496.

It is an arithmetic number, because the mean of its divisors is an integer number (2701389600).

Almost surely, 2^465042565728 is an apocalyptic number.

465042565728 is a gapful number since it is divisible by the number (48) 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 465042565728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778000204800).

465042565728 is an abundant number, since it is smaller than the sum of its proper divisors (1090957843872).

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

465042565728 is a wasteful number, since it uses less digits than its factorization.

465042565728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 465042565728 in words is "four hundred sixty-five billion, forty-two million, five hundred sixty-five thousand, seven hundred twenty-eight".