390046464369 has 21 divisors (see below), whose sum is σ = 584827458249. Its totient is φ = 260019734580.

The previous prime is 390046464337. The next prime is 390046464391. The reversal of 390046464369 is 963464640093.

The square root of 390046464369 is 624537.

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

390046464369 is a `hidden beast` number, since 3 + 90 + 0 + 464 + 64 + 36 + 9 = 666.

It is not a de Polignac number, because 390046464369 - 2⁵ = 390046464337 is a prime.

It is a super-2 number, since 2×390046464369² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390046464319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16850934 + ... + 16874064.

Almost surely, 2^390046464369 is an apocalyptic number.

390046464369 is the 624537-th square number.

390046464369 is the 312269-th centered octagonal number.

It is an amenable number.

390046464369 is a deficient number, since it is larger than the sum of its proper divisors (194780993880).

390046464369 is an frugal number, since it uses more digits than its factorization.

390046464369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46280 (or 23134 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 390046464369 in words is "three hundred ninety billion, forty-six million, four hundred sixty-four thousand, three hundred sixty-nine".