413683632 has 40 divisors (see below), whose sum is σ = 1187426480. Its totient is φ = 137894400.

The previous prime is 413683619. The next prime is 413683651. The reversal of 413683632 is 236386314.

413683632 is a `hidden beast` number, since 4 + 13 + 6 + 8 + 3 + 632 = 666.

It is a super-2 number, since 2×413683632² = 342268294769422848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478369 + ... + 479232.

It is an arithmetic number, because the mean of its divisors is an integer number (29685662).

Almost surely, 2^413683632 is an apocalyptic number.

It is an amenable number.

413683632 is an abundant number, since it is smaller than the sum of its proper divisors (773742848).

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

413683632 is a wasteful number, since it uses less digits than its factorization.

413683632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957618 (or 957606 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 413683632 is about 20339.2141441109. The cubic root of 413683632 is about 745.1140957036.

The spelling of 413683632 in words is "four hundred thirteen million, six hundred eighty-three thousand, six hundred thirty-two".