407070976 has 81 divisors (see below), whose sum is σ = 889028091. Its totient is φ = 185942016.

The previous prime is 407070973. The next prime is 407071009. The reversal of 407070976 is 679070704.

It is a happy number.

The square root of 407070976 is 20176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 74373376 + 332697600 = 8624^2 + 18240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407070971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4196560 + ... + 4196656.

Almost surely, 2^407070976 is an apocalyptic number.

407070976 is the 20176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407070976

407070976 is an abundant number, since it is smaller than the sum of its proper divisors (481957115).

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

407070976 is an frugal number, since it uses more digits than its factorization.

407070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The cubic root of 407070976 is about 741.1225815468.

The spelling of 407070976 in words is "four hundred seven million, seventy thousand, nine hundred seventy-six".