413618160 has 80 divisors (see below), whose sum is σ = 1357654176. Its totient is φ = 103809024.

The previous prime is 413618147. The next prime is 413618171. The reversal of 413618160 is 61816314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46609 + ... + 54768.

Almost surely, 2^413618160 is an apocalyptic number.

413618160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413618160 is an abundant number, since it is smaller than the sum of its proper divisors (944036016).

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

413618160 is a wasteful number, since it uses less digits than its factorization.

413618160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101410 (or 101404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 413618160 is about 20337.6045787108. The cubic root of 413618160 is about 745.0747849194.

The spelling of 413618160 in words is "four hundred thirteen million, six hundred eighteen thousand, one hundred sixty".