413045136 has 160 divisors (see below), whose sum is σ = 1366222080. Its totient is φ = 117033984.

The previous prime is 413045119. The next prime is 413045159. The reversal of 413045136 is 631540314.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 413790 + ... + 414786.

It is an arithmetic number, because the mean of its divisors is an integer number (8538888).

Almost surely, 2^413045136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683111040).

413045136 is an abundant number, since it is smaller than the sum of its proper divisors (953176944).

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

413045136 is a wasteful number, since it uses less digits than its factorization.

413045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413045136 is about 20323.5119012438. The cubic root of 413045136 is about 744.7305519292.

The spelling of 413045136 in words is "four hundred thirteen million, forty-five thousand, one hundred thirty-six".