413752512 has 112 divisors (see below), whose sum is σ = 1192377600. Its totient is φ = 126120960.

The previous prime is 413752501. The next prime is 413752513. The reversal of 413752512 is 215257314.

It is a super-2 number, since 2×413752512² = 342382282372620288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413752512.

It is not an unprimeable number, because it can be changed into a prime (413752513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103837 + ... + 107747.

Almost surely, 2^413752512 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 413752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596188800).

413752512 is an abundant number, since it is smaller than the sum of its proper divisors (778625088).

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

413752512 is a wasteful number, since it uses less digits than its factorization.

413752512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3964 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 413752512 is about 20340.9073543930. The cubic root of 413752512 is about 745.1554482467.

The spelling of 413752512 in words is "four hundred thirteen million, seven hundred fifty-two thousand, five hundred twelve".