407416752 has 60 divisors (see below), whose sum is σ = 1146248064. Its totient is φ = 135085440.

The previous prime is 407416741. The next prime is 407416769. The reversal of 407416752 is 257614704.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20098 + ... + 34910.

Almost surely, 2^407416752 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 407416752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573124032).

407416752 is an abundant number, since it is smaller than the sum of its proper divisors (738831312).

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

407416752 is a wasteful number, since it uses less digits than its factorization.

407416752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 407416752 is about 20184.5671739574. The cubic root of 407416752 is about 741.3323646825.

The spelling of 407416752 in words is "four hundred seven million, four hundred sixteen thousand, seven hundred fifty-two".