390845030976 has 315 divisors, whose sum is σ = 1225456274889. Its totient is φ = 123154670592.

The previous prime is 390845030971. The next prime is 390845030977. The reversal of 390845030976 is 679030548093.

The square root of 390845030976 is 625176.

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

390845030976 is a `hidden beast` number, since 3 + 90 + 8 + 450 + 30 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338025960000 + 52819070976 = 581400^2 + 229824^2 .

It is a super-3 number, since 3×390845030976³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (390845030971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 855240540 + ... + 855240996.

Almost surely, 2^390845030976 is an apocalyptic number.

390845030976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

390845030976 is the 625176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390845030976

390845030976 is an abundant number, since it is smaller than the sum of its proper divisors (834611243913).

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

390845030976 is an frugal number, since it uses more digits than its factorization.

390845030976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 390845030976 in words is "three hundred ninety billion, eight hundred forty-five million, thirty thousand, nine hundred seventy-six".