407979704 has 96 divisors (see below), whose sum is σ = 925603200. Its totient is φ = 166415040.

The previous prime is 407979679. The next prime is 407979707.

407979704 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407979707) 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, 3960917 + ... + 3961019.

It is an arithmetic number, because the mean of its divisors is an integer number (9641700).

Almost surely, 2^407979704 is an apocalyptic number.

407979704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407979704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462801600).

407979704 is an abundant number, since it is smaller than the sum of its proper divisors (517623496).

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

407979704 is a wasteful number, since it uses less digits than its factorization.

407979704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 47.

The square root of 407979704 is about 20198.5074696127. The cubic root of 407979704 is about 741.6736552358.

The spelling of 407979704 in words is "four hundred seven million, nine hundred seventy-nine thousand, seven hundred four".