465257752564 has 48 divisors (see below), whose sum is σ = 947233707840. Its totient is φ = 197608757760.

The previous prime is 465257752559. The next prime is 465257752567.

It is a happy number.

465257752564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465257752499 and 465257752508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465257752567) 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, 2133447 + ... + 2341390.

It is an arithmetic number, because the mean of its divisors is an integer number (19734035580).

Almost surely, 2^465257752564 is an apocalyptic number.

465257752564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465257752564 is an abundant number, since it is smaller than the sum of its proper divisors (481975955276).

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

465257752564 is a wasteful number, since it uses less digits than its factorization.

465257752564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475008 (or 4475006 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 58.

The spelling of 465257752564 in words is "four hundred sixty-five billion, two hundred fifty-seven million, seven hundred fifty-two thousand, five hundred sixty-four".