413238900 has 72 divisors (see below), whose sum is σ = 1198048320. Its totient is φ = 109975040.

The previous prime is 413238883. The next prime is 413238919. The reversal of 413238900 is 9832314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193036 + ... + 195164.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2^413238900 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 413238900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599024160).

413238900 is an abundant number, since it is smaller than the sum of its proper divisors (784809420).

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

413238900 is a wasteful number, since it uses less digits than its factorization.

413238900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 413238900 is about 20328.2783333956. The cubic root of 413238900 is about 744.8469874786.

The spelling of 413238900 in words is "four hundred thirteen million, two hundred thirty-eight thousand, nine hundred".