413152500 has 120 divisors (see below), whose sum is σ = 1244201728. Its totient is φ = 106560000.

The previous prime is 413152477. The next prime is 413152501. The reversal of 413152500 is 5251314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413152501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231612 + ... + 233388.

Almost surely, 2^413152500 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 413152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622100864).

413152500 is an abundant number, since it is smaller than the sum of its proper divisors (831049228).

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

413152500 is a wasteful number, since it uses less digits than its factorization.

413152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 413152500 is about 20326.1531038217. The cubic root of 413152500 is about 744.7950729845.

The spelling of 413152500 in words is "four hundred thirteen million, one hundred fifty-two thousand, five hundred".