415188972 has 72 divisors (see below), whose sum is σ = 1161119232. Its totient is φ = 124034400.

The previous prime is 415188971. The next prime is 415189013. The reversal of 415188972 is 279881514.

415188972 is a `hidden beast` number, since 41 + 518 + 8 + 97 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (415188971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20733 + ... + 35499.

It is an arithmetic number, because the mean of its divisors is an integer number (16126656).

Almost surely, 2^415188972 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 415188972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580559616).

415188972 is an abundant number, since it is smaller than the sum of its proper divisors (745930260).

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

415188972 is a wasteful number, since it uses less digits than its factorization.

415188972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14859 (or 14854 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 415188972 is about 20376.1863949072. The cubic root of 415188972 is about 746.0167921910.

The spelling of 415188972 in words is "four hundred fifteen million, one hundred eighty-eight thousand, nine hundred seventy-two".