390892441 has 9 divisors (see below), whose sum is σ = 415596031. Its totient is φ = 367582432.

The previous prime is 390892409. The next prime is 390892459. The reversal of 390892441 is 144298093.

The square root of 390892441 is 19771.

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., 304328025 + 86564416 = 17445^2 + 9304^2 .

It is not a de Polignac number, because 390892441 - 2⁵ = 390892409 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 390892394 and 390892403.

It is not an unprimeable number, because it can be changed into a prime (390892471) 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, 335526 + ... + 336688.

Almost surely, 2^390892441 is an apocalyptic number.

390892441 is the 19771-st square number.

390892441 is the 9886-th centered octagonal number.

It is an amenable number.

390892441 is a deficient number, since it is larger than the sum of its proper divisors (24703590).

390892441 is an frugal number, since it uses more digits than its factorization.

390892441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The cubic root of 390892441 is about 731.1712236370.

The spelling of 390892441 in words is "three hundred ninety million, eight hundred ninety-two thousand, four hundred forty-one".