413161344 has 64 divisors (see below), whose sum is σ = 1219410000. Its totient is φ = 137719296.

The previous prime is 413161321. The next prime is 413161367. The reversal of 413161344 is 443161314.

413161344 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 613 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (413161321) and next prime (413161367).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 56319 + ... + 63230.

Almost surely, 2^413161344 is an apocalyptic number.

It is an amenable number.

413161344 is an abundant number, since it is smaller than the sum of its proper divisors (806248656).

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

413161344 is a wasteful number, since it uses less digits than its factorization.

413161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119572 (or 119554 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 413161344 is about 20326.3706548907. The cubic root of 413161344 is about 744.8003873423.

The spelling of 413161344 in words is "four hundred thirteen million, one hundred sixty-one thousand, three hundred forty-four".