413632000 has 160 divisors (see below), whose sum is σ = 1080091584. Its totient is φ = 157696000.

The previous prime is 413631997. The next prime is 413632031. The reversal of 413632000 is 236314.

413632000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471860 + ... + 1472140.

Almost surely, 2^413632000 is an apocalyptic number.

413632000 is a gapful number since it is divisible by the number (40) 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 413632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540045792).

413632000 is an abundant number, since it is smaller than the sum of its proper divisors (666459584).

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

413632000 is an equidigital number, since it uses as much as digits as its factorization.

413632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 413632000 is about 20337.9448322587. The cubic root of 413632000 is about 745.0830950961.

Adding to 413632000 its reverse (236314), we get a palindrome (413868314).

The spelling of 413632000 in words is "four hundred thirteen million, six hundred thirty-two thousand".