412997920 has 96 divisors (see below), whose sum is σ = 1008380016. Its totient is φ = 159744000.

The previous prime is 412997899. The next prime is 412997939. The reversal of 412997920 is 29799214.

It can be written as a sum of positive squares in 8 ways, for example, as 158659216 + 254338704 = 12596^2 + 15948^2 .

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 15 ways as a sum of consecutive naturals, for example, 1029720 + ... + 1030120.

Almost surely, 2^412997920 is an apocalyptic number.

412997920 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 412997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504190008).

412997920 is an abundant number, since it is smaller than the sum of its proper divisors (595382096).

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

412997920 is a wasteful number, since it uses less digits than its factorization.

412997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 412997920 is about 20322.3502577827. The cubic root of 412997920 is about 744.7021736443.

The spelling of 412997920 in words is "four hundred twelve million, nine hundred ninety-seven thousand, nine hundred twenty".