413015232 has 224 divisors, whose sum is σ = 1348337664. Its totient is φ = 108979200.

The previous prime is 413015231. The next prime is 413015237. The reversal of 413015232 is 232510314.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413015199 and 413015208.

It is not an unprimeable number, because it can be changed into a prime (413015231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958057 + ... + 958487.

Almost surely, 2^413015232 is an apocalyptic number.

413015232 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 413015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674168832).

413015232 is an abundant number, since it is smaller than the sum of its proper divisors (935322432).

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

413015232 is a wasteful number, since it uses less digits than its factorization.

413015232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 413015232 is about 20322.7761883066. The cubic root of 413015232 is about 744.7125789460.

Adding to 413015232 its reverse (232510314), we get a palindrome (645525546).

The spelling of 413015232 in words is "four hundred thirteen million, fifteen thousand, two hundred thirty-two".