413319520 has 48 divisors (see below), whose sum is σ = 978687360. Its totient is φ = 164952064.

The previous prime is 413319463. The next prime is 413319539. The reversal of 413319520 is 25913314.

It is a super-2 number, since 2×413319520² = 341666051226060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73944 + ... + 79336.

It is an arithmetic number, because the mean of its divisors is an integer number (20389320).

Almost surely, 2^413319520 is an apocalyptic number.

413319520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413319520 is an abundant number, since it is smaller than the sum of its proper divisors (565367840).

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

413319520 is a wasteful number, since it uses less digits than its factorization.

413319520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 413319520 is about 20330.2611886813. The cubic root of 413319520 is about 744.8954224633.

It can be divided in two parts, 4133 and 19520, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 413319520 in words is "four hundred thirteen million, three hundred nineteen thousand, five hundred twenty".