407241664 has 56 divisors (see below), whose sum is σ = 885230640. Its totient is φ = 185020416.

The previous prime is 407241631. The next prime is 407241677. The reversal of 407241664 is 466142704.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25099 + ... + 38005.

It is an arithmetic number, because the mean of its divisors is an integer number (15807690).

Almost surely, 2^407241664 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 407241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442615320).

407241664 is an abundant number, since it is smaller than the sum of its proper divisors (477988976).

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

407241664 is a wasteful number, since it uses less digits than its factorization.

407241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 407241664 is about 20180.2295328869. The cubic root of 407241664 is about 741.2261532102.

The spelling of 407241664 in words is "four hundred seven million, two hundred forty-one thousand, six hundred sixty-four".