390781125 has 192 divisors, whose sum is σ = 896313600. Its totient is φ = 166924800.

The previous prime is 390781117. The next prime is 390781207. The reversal of 390781125 is 521187093.

It is not a de Polignac number, because 390781125 - 2³ = 390781117 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 390781125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2811306 + ... + 2811444.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^390781125 is an apocalyptic number.

390781125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

390781125 is an abundant number, since it is smaller than the sum of its proper divisors (505532475).

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

390781125 is a wasteful number, since it uses less digits than its factorization.

390781125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 390781125 is about 19768.1846662763. The cubic root of 390781125 is about 731.1018108654.

The spelling of 390781125 in words is "three hundred ninety million, seven hundred eighty-one thousand, one hundred twenty-five".