407360509504 has 315 divisors, whose sum is σ = 981495946707. Its totient is φ = 167639666688.

The previous prime is 407360509481. The next prime is 407360509541. The reversal of 407360509504 is 405905063704.

The square root of 407360509504 is 638248.

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 3678179904 + 403682329600 = 60648^2 + 635360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21440026807 + ... + 21440026825.

Almost surely, 2^407360509504 is an apocalyptic number.

407360509504 is the 638248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407360509504

407360509504 is an abundant number, since it is smaller than the sum of its proper divisors (574135437203).

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

407360509504 is an frugal number, since it uses more digits than its factorization.

407360509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 407360509504 in words is "four hundred seven billion, three hundred sixty million, five hundred nine thousand, five hundred four".