412639920 has 400 divisors, whose sum is σ = 1788956928. Its totient is φ = 85639680.

The previous prime is 412639897. The next prime is 412639937. The reversal of 412639920 is 29936214.

412639920 is a `hidden beast` number, since 4 + 12 + 639 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498547 + ... + 499373.

Almost surely, 2^412639920 is an apocalyptic number.

412639920 is a gapful number since it is divisible by the number (40) 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 412639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894478464).

412639920 is an abundant number, since it is smaller than the sum of its proper divisors (1376317008).

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

412639920 is a wasteful number, since it uses less digits than its factorization.

412639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 412639920 is about 20313.5403118216. The cubic root of 412639920 is about 744.4869341028.

The spelling of 412639920 in words is "four hundred twelve million, six hundred thirty-nine thousand, nine hundred twenty".