465428202824564 has 48 divisors (see below), whose sum is σ = 949131348211200. Its totient is φ = 195571011486816.

The previous prime is 465428202824539. The next prime is 465428202824581.

465428202824564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465428202824497 and 465428202824506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371057534 + ... + 372309749.

It is an arithmetic number, because the mean of its divisors is an integer number (19773569754400).

Almost surely, 2^{465428202824564} is an apocalyptic number.

It is an amenable number.

465428202824564 is an abundant number, since it is smaller than the sum of its proper divisors (483703145386636).

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

465428202824564 is a wasteful number, since it uses less digits than its factorization.

465428202824564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743367732 (or 743367730 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 62.

The spelling of 465428202824564 in words is "four hundred sixty-five trillion, four hundred twenty-eight billion, two hundred two million, eight hundred twenty-four thousand, five hundred sixty-four".