407704672 has 48 divisors (see below), whose sum is σ = 826377552. Its totient is φ = 197890560.

The previous prime is 407704669. The next prime is 407704709. The reversal of 407704672 is 276407704.

It is a happy number.

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, 248238 + ... + 249874.

It is an arithmetic number, because the mean of its divisors is an integer number (17216199).

Almost surely, 2^407704672 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 407704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413188776).

407704672 is an abundant number, since it is smaller than the sum of its proper divisors (418672880).

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

407704672 is a wasteful number, since it uses less digits than its factorization.

407704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 407704672 is about 20191.6980959998. The cubic root of 407704672 is about 741.5069558949.

The spelling of 407704672 in words is "four hundred seven million, seven hundred four thousand, six hundred seventy-two".