390010257 has 54 divisors (see below), whose sum is σ = 709746102. Its totient is φ = 205680384.

The previous prime is 390010219. The next prime is 390010267. The reversal of 390010257 is 752010093.

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 356416641 = 5796^2 + 18879^2 .

It is not a de Polignac number, because 390010257 - 2¹⁴ = 389993873 is a prime.

It is a super-3 number, since 3×390010257³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) 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 390010257.

It is not an unprimeable number, because it can be changed into a prime (390010267) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 71913 + ... + 77145.

Almost surely, 2^390010257 is an apocalyptic number.

It is an amenable number.

390010257 is a deficient number, since it is larger than the sum of its proper divisors (319735845).

390010257 is a wasteful number, since it uses less digits than its factorization.

390010257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 390010257 is about 19748.6773481163. The cubic root of 390010257 is about 730.6207624027.

The spelling of 390010257 in words is "three hundred ninety million, ten thousand, two hundred fifty-seven".