407973457984 has 21 divisors (see below), whose sum is σ = 809582470621. Its totient is φ = 203984174080.

The previous prime is 407973457979. The next prime is 407973458003. The reversal of 407973457984 is 489754379704.

The square root of 407973457984 is 638728.

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

It can be written as a sum of positive squares in only one way, i.e., 287647723584 + 120325734400 = 536328^2 + 346880^2 .

It is a super-2 number, since 2×407973457984² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5069904 + ... + 5149744.

Almost surely, 2^407973457984 is an apocalyptic number.

407973457984 is the 638728-th square number.

It is an amenable number.

407973457984 is a deficient number, since it is larger than the sum of its proper divisors (401609012637).

407973457984 is an frugal number, since it uses more digits than its factorization.

407973457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159694 (or 79843 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 407973457984 in words is "four hundred seven billion, nine hundred seventy-three million, four hundred fifty-seven thousand, nine hundred eighty-four".