412256452608 has 1920 divisors, whose sum is σ = 1761553920000. Its totient is φ = 93640458240.

The previous prime is 412256452577. The next prime is 412256452613. The reversal of 412256452608 is 806254652214.

412256452608 is a `hidden beast` number, since 4 + 1 + 22 + 564 + 5 + 2 + 60 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21697708023 + ... + 21697708041.

It is an arithmetic number, because the mean of its divisors is an integer number (917476000).

Almost surely, 2^412256452608 is an apocalyptic number.

412256452608 is a gapful number since it is divisible by the number (48) 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 412256452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880776960000).

412256452608 is an abundant number, since it is smaller than the sum of its proper divisors (1349297467392).

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

412256452608 is a wasteful number, since it uses less digits than its factorization.

412256452608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 412256452608 in words is "four hundred twelve billion, two hundred fifty-six million, four hundred fifty-two thousand, six hundred eight".