407393856 has 105 divisors (see below), whose sum is σ = 1209425191. Its totient is φ = 131115264.

The previous prime is 407393843. The next prime is 407393867. The reversal of 407393856 is 658393704.

The square root of 407393856 is 20184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 406425600 = 984^2 + 20160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14048050 + ... + 14048078.

Almost surely, 2^407393856 is an apocalyptic number.

407393856 is the 20184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407393856

407393856 is an abundant number, since it is smaller than the sum of its proper divisors (802031335).

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

407393856 is an frugal number, since it uses more digits than its factorization.

407393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 407393856 is about 741.3184772943.

The spelling of 407393856 in words is "four hundred seven million, three hundred ninety-three thousand, eight hundred fifty-six".