415351872 has 84 divisors (see below), whose sum is σ = 1282133580. Its totient is φ = 127798272.

The previous prime is 415351843. The next prime is 415351889. The reversal of 415351872 is 278153514.

415351872 is a `hidden beast` number, since 41 + 535 + 1 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 395850816 = 4416^2 + 19896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20247 + ... + 35222.

It is an arithmetic number, because the mean of its divisors is an integer number (15263495).

Almost surely, 2^415351872 is an apocalyptic number.

It is an amenable number.

415351872 is an abundant number, since it is smaller than the sum of its proper divisors (866781708).

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

415351872 is a wasteful number, since it uses less digits than its factorization.

415351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55500 (or 55487 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 415351872 is about 20380.1833161530. The cubic root of 415351872 is about 746.1143463599.

The spelling of 415351872 in words is "four hundred fifteen million, three hundred fifty-one thousand, eight hundred seventy-two".