413387520 has 432 divisors, whose sum is σ = 1663734240. Its totient is φ = 87220224.

The previous prime is 413387501. The next prime is 413387549. The reversal of 413387520 is 25783314.

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 47 ways as a sum of consecutive naturals, for example, 31799034 + ... + 31799046.

Almost surely, 2^413387520 is an apocalyptic number.

413387520 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 413387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831867120).

413387520 is an abundant number, since it is smaller than the sum of its proper divisors (1250346720).

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

413387520 is an equidigital number, since it uses as much as digits as its factorization.

413387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 413387520 is about 20331.9335037276. The cubic root of 413387520 is about 744.9362706923.

The spelling of 413387520 in words is "four hundred thirteen million, three hundred eighty-seven thousand, five hundred twenty".