413813232 has 240 divisors, whose sum is σ = 1402008480. Its totient is φ = 116508672.

The previous prime is 413813227. The next prime is 413813233. The reversal of 413813232 is 232318314.

413813232 is a `hidden beast` number, since 413 + 8 + 13 + 232 = 666.

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.

It is a junction number, because it is equal to n+sod(n) for n = 413813196 and 413813205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413813233) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2391898 + ... + 2392070.

It is an arithmetic number, because the mean of its divisors is an integer number (5841702).

Almost surely, 2^413813232 is an apocalyptic number.

413813232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413813232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701004240).

413813232 is an abundant number, since it is smaller than the sum of its proper divisors (988195248).

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

413813232 is a wasteful number, since it uses less digits than its factorization.

413813232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

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

The square root of 413813232 is about 20342.3998584238. The cubic root of 413813232 is about 745.1918980763.

413813232 divided by its sum of digits (27) gives a triangular number (15326416 = T₅₅₃₆).

The spelling of 413813232 in words is "four hundred thirteen million, eight hundred thirteen thousand, two hundred thirty-two".