390273828961 has 9 divisors (see below), whose sum is σ = 391416020499. Its totient is φ = 389134966224.

The previous prime is 390273828953. The next prime is 390273828977. The reversal of 390273828961 is 169828372093.

The square root of 390273828961 is 624719.

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., 337531950625 + 52741878336 = 580975^2 + 229656^2 .

It is not a de Polignac number, because 390273828961 - 2³ = 390273828953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 390273828896 and 390273828905.

It is not an unprimeable number, because it can be changed into a prime (390273828911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 285495900 + ... + 285497266.

Almost surely, 2^390273828961 is an apocalyptic number.

390273828961 is the 624719-th square number.

390273828961 is the 312360-th centered octagonal number.

It is an amenable number.

390273828961 is a deficient number, since it is larger than the sum of its proper divisors (1142191538).

390273828961 is an frugal number, since it uses more digits than its factorization.

390273828961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 390273828961 in words is "three hundred ninety billion, two hundred seventy-three million, eight hundred twenty-eight thousand, nine hundred sixty-one".