407899368900 has 243 divisors, whose sum is σ = 1303576294293. Its totient is φ = 106683436800.

The previous prime is 407899368869. The next prime is 407899368911. The reversal of 407899368900 is 9863998704.

The square root of 407899368900 is 638670.

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

407899368900 is a `hidden beast` number, since 407 + 89 + 9 + 3 + 68 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 376109905284 + 31789463616 = 613278^2 + 178296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1168765926 + ... + 1168766274.

Almost surely, 2^407899368900 is an apocalyptic number.

407899368900 is the 638670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407899368900

407899368900 is an abundant number, since it is smaller than the sum of its proper divisors (895676925393).

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

407899368900 is a wasteful number, since it uses less digits than its factorization.

407899368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 407899368900 in words is "four hundred seven billion, eight hundred ninety-nine million, three hundred sixty-eight thousand, nine hundred".