462575575264 has 96 divisors (see below), whose sum is σ = 1018675284480. Its totient is φ = 204940262400.

The previous prime is 462575575243. The next prime is 462575575313.

It is a happy number.

462575575264 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 462575575199 and 462575575208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15903967 + ... + 15933025.

It is an arithmetic number, because the mean of its divisors is an integer number (10611200880).

Almost surely, 2^462575575264 is an apocalyptic number.

462575575264 is a gapful number since it is divisible by the number (44) 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 462575575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509337642240).

462575575264 is an abundant number, since it is smaller than the sum of its proper divisors (556099709216).

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

462575575264 is a wasteful number, since it uses less digits than its factorization.

462575575264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30224 (or 30216 counting only the distinct ones).

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

The spelling of 462575575264 in words is "four hundred sixty-two billion, five hundred seventy-five million, five hundred seventy-five thousand, two hundred sixty-four".