413516320 has 48 divisors (see below), whose sum is σ = 1116497088. Its totient is φ = 141776640.

The previous prime is 413516281. The next prime is 413516351. The reversal of 413516320 is 23615314.

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, 183486 + ... + 185725.

It is an arithmetic number, because the mean of its divisors is an integer number (23260356).

Almost surely, 2^413516320 is an apocalyptic number.

413516320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413516320 is an abundant number, since it is smaller than the sum of its proper divisors (702980768).

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

413516320 is a wasteful number, since it uses less digits than its factorization.

413516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369233 (or 369225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 413516320 is about 20335.1006882189. The cubic root of 413516320 is about 745.0136297673.

The spelling of 413516320 in words is "four hundred thirteen million, five hundred sixteen thousand, three hundred twenty".