413156736 has 192 divisors, whose sum is σ = 1253070000. Its totient is φ = 130486272.

The previous prime is 413156717. The next prime is 413156753. The reversal of 413156736 is 637651314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413156736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772790 + ... + 2772938.

Almost surely, 2^413156736 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 413156736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626535000).

413156736 is an abundant number, since it is smaller than the sum of its proper divisors (839913264).

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

413156736 is a wasteful number, since it uses less digits than its factorization.

413156736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 413156736 is about 20326.2573042850. The cubic root of 413156736 is about 744.7976184055.

The spelling of 413156736 in words is "four hundred thirteen million, one hundred fifty-six thousand, seven hundred thirty-six".