390285073984 has 63 divisors (see below), whose sum is σ = 838769014737. Its totient is φ = 180101585664.

The previous prime is 390285073979. The next prime is 390285074017. The reversal of 390285073984 is 489370582093.

The square root of 390285073984 is 624728.

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., 57734478400 + 332550595584 = 240280^2 + 576672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64968709 + ... + 64974715.

Almost surely, 2^390285073984 is an apocalyptic number.

390285073984 is the 624728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390285073984

390285073984 is an abundant number, since it is smaller than the sum of its proper divisors (448483940753).

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

390285073984 is an frugal number, since it uses more digits than its factorization.

390285073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12052 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 390285073984 in words is "three hundred ninety billion, two hundred eighty-five million, seventy-three thousand, nine hundred eighty-four".