390846281329 has 81 divisors (see below), whose sum is σ = 488262923001. Its totient is φ = 311938315920.

The previous prime is 390846281299. The next prime is 390846281411. The reversal of 390846281329 is 923182648093.

The square root of 390846281329 is 625177.

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

It is not a de Polignac number, because 390846281329 - 2⁵ = 390846281297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 390846281329.

It is not an unprimeable number, because it can be changed into a prime (390846281929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5833526554 + ... + 5833526620.

It is an arithmetic number, because the mean of its divisors is an integer number (6027937321).

Almost surely, 2^390846281329 is an apocalyptic number.

390846281329 is the 625177-th square number.

390846281329 is the 312589-th centered octagonal number.

It is an amenable number.

390846281329 is a deficient number, since it is larger than the sum of its proper divisors (97416641672).

390846281329 is an frugal number, since it uses more digits than its factorization.

390846281329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 390846281329 in words is "three hundred ninety billion, eight hundred forty-six million, two hundred eighty-one thousand, three hundred twenty-nine".