413651736 has 96 divisors (see below), whose sum is σ = 1198844400. Its totient is φ = 128459520.

The previous prime is 413651731. The next prime is 413651741. The reversal of 413651736 is 637156314.

413651736 is a `hidden beast` number, since 4 + 136 + 517 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (413651731) and next prime (413651741).

It is a super-2 number, since 2×413651736² = 342215517391627392, which contains 22 as substring.

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 413651736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413651731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80970 + ... + 85926.

Almost surely, 2^413651736 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 413651736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599422200).

413651736 is an abundant number, since it is smaller than the sum of its proper divisors (785192664).

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

413651736 is a wasteful number, since it uses less digits than its factorization.

413651736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5042 counting only the distinct ones).

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

The square root of 413651736 is about 20338.4300279053. The cubic root of 413651736 is about 745.0949451836.

The spelling of 413651736 in words is "four hundred thirteen million, six hundred fifty-one thousand, seven hundred thirty-six".