465080080564 has 192 divisors, whose sum is σ = 972679938048. Its totient is φ = 192379017600.

The previous prime is 465080080523. The next prime is 465080080567.

465080080564 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465080080567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526704067 + ... + 526704949.

It is an arithmetic number, because the mean of its divisors is an integer number (5066041344).

Almost surely, 2^465080080564 is an apocalyptic number.

465080080564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465080080564 is an abundant number, since it is smaller than the sum of its proper divisors (507599857484).

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

465080080564 is a wasteful number, since it uses less digits than its factorization.

465080080564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 465080080564 in words is "four hundred sixty-five billion, eighty million, eighty thousand, five hundred sixty-four".