465028820564 has 48 divisors (see below), whose sum is σ = 1015591226496. Its totient is φ = 181004544000.

The previous prime is 465028820521. The next prime is 465028820567.

465028820564 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465028820567) 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, 412637 + ... + 1048964.

It is an arithmetic number, because the mean of its divisors is an integer number (21158150552).

Almost surely, 2^465028820564 is an apocalyptic number.

465028820564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465028820564 is an abundant number, since it is smaller than the sum of its proper divisors (550562405932).

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

465028820564 is a wasteful number, since it uses less digits than its factorization.

465028820564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462656 (or 1462654 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 465028820564 in words is "four hundred sixty-five billion, twenty-eight million, eight hundred twenty thousand, five hundred sixty-four".