412634077956 has 135 divisors (see below), whose sum is σ = 1091150672997. Its totient is φ = 135976034880.

The previous prime is 412634077937. The next prime is 412634078009. The reversal of 412634077956 is 659770436214.

The square root of 412634077956 is 642366.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 278853700356 + 133780377600 = 528066^2 + 365760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1468448536 + ... + 1468448816.

Almost surely, 2^412634077956 is an apocalyptic number.

412634077956 is the 642366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412634077956

412634077956 is an abundant number, since it is smaller than the sum of its proper divisors (678516595041).

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

412634077956 is an equidigital number, since it uses as much as digits as its factorization.

412634077956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 412634077956 in words is "four hundred twelve billion, six hundred thirty-four million, seventy-seven thousand, nine hundred fifty-six".