412855520 has 384 divisors, whose sum is σ = 1337720832. Its totient is φ = 116582400.

The previous prime is 412855519. The next prime is 412855561. The reversal of 412855520 is 25558214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8784137 + ... + 8784183.

It is an arithmetic number, because the mean of its divisors is an integer number (3483648).

Almost surely, 2^412855520 is an apocalyptic number.

412855520 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 412855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668860416).

412855520 is an abundant number, since it is smaller than the sum of its proper divisors (924865312).

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

412855520 is a wasteful number, since it uses less digits than its factorization.

412855520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 412855520 is about 20318.8464239484. The cubic root of 412855520 is about 744.6165737136.

The spelling of 412855520 in words is "four hundred twelve million, eight hundred fifty-five thousand, five hundred twenty".