394499560464 has 225 divisors, whose sum is σ = 1162515482733. Its totient is φ = 129155814144.

The previous prime is 394499560409. The next prime is 394499560501. The reversal of 394499560464 is 464065994493.

The square root of 394499560464 is 628092.

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

394499560464 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 9 + 9 + 560 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223937168400 + 170562392064 = 473220^2 + 412992^2 .

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, 1650625657 + ... + 1650625895.

Almost surely, 2^394499560464 is an apocalyptic number.

394499560464 is the 628092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394499560464

394499560464 is an abundant number, since it is smaller than the sum of its proper divisors (768015922269).

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

394499560464 is an frugal number, since it uses more digits than its factorization.

394499560464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 394499560464 in words is "three hundred ninety-four billion, four hundred ninety-nine million, five hundred sixty thousand, four hundred sixty-four".