413255920 has 160 divisors (see below), whose sum is σ = 1215636480. Its totient is φ = 126904320.

The previous prime is 413255917. The next prime is 413255971. The reversal of 413255920 is 29552314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449221 + ... + 450139.

It is an arithmetic number, because the mean of its divisors is an integer number (7597728).

Almost surely, 2^413255920 is an apocalyptic number.

413255920 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 413255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607818240).

413255920 is an abundant number, since it is smaller than the sum of its proper divisors (802380560).

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

413255920 is a wasteful number, since it uses less digits than its factorization.

413255920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 413255920 is about 20328.6969577492. The cubic root of 413255920 is about 744.8572133001.

The spelling of 413255920 in words is "four hundred thirteen million, two hundred fifty-five thousand, nine hundred twenty".