412642634500 has 72 divisors (see below), whose sum is σ = 923730280200. Its totient is φ = 161030944000.

The previous prime is 412642634483. The next prime is 412642634513. The reversal of 412642634500 is 5436246214.

It can be written as a sum of positive squares in 12 ways, for example, as 406543961664 + 6098672836 = 637608^2 + 78094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412642634500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595026 + ... + 1085974.

It is an arithmetic number, because the mean of its divisors is an integer number (12829587225).

Almost surely, 2^412642634500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412642634500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461865140100).

412642634500 is an abundant number, since it is smaller than the sum of its proper divisors (511087645700).

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

412642634500 is a wasteful number, since it uses less digits than its factorization.

412642634500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491050 (or 490997 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 412642634500 in words is "four hundred twelve billion, six hundred forty-two million, six hundred thirty-four thousand, five hundred".