412556364 has 108 divisors (see below), whose sum is σ = 1170770328. Its totient is φ = 121478400.

The previous prime is 412556317. The next prime is 412556413. The reversal of 412556364 is 463655214.

412556364 is a `hidden beast` number, since 4 + 12 + 5 + 5 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541744 + ... + 542504.

It is an arithmetic number, because the mean of its divisors is an integer number (10840466).

Almost surely, 2^412556364 is an apocalyptic number.

412556364 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 412556364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585385164).

412556364 is an abundant number, since it is smaller than the sum of its proper divisors (758213964).

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

412556364 is a wasteful number, since it uses less digits than its factorization.

412556364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 814 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 412556364 is about 20311.4835499527. The cubic root of 412556364 is about 744.4366799979.

The spelling of 412556364 in words is "four hundred twelve million, five hundred fifty-six thousand, three hundred sixty-four".