390431274025 has 27 divisors (see below), whose sum is σ = 524295159759. Its totient is φ = 288288486720.

The previous prime is 390431274007. The next prime is 390431274043. The reversal of 390431274025 is 520472134093.

The square root of 390431274025 is 624845.

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

It is an interprime number because it is at equal distance from previous prime (390431274007) and next prime (390431274043).

It can be written as a sum of positive squares in 13 ways, for example, as 122194290969 + 268236983056 = 349563^2 + 517916^2 .

It is not a de Polignac number, because 390431274025 - 2²⁷ = 390297056297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40610119 + ... + 40619731.

Almost surely, 2^390431274025 is an apocalyptic number.

390431274025 is the 624845-th square number.

390431274025 is the 312423-rd centered octagonal number.

It is an amenable number.

390431274025 is a deficient number, since it is larger than the sum of its proper divisors (133863885734).

390431274025 is an frugal number, since it uses more digits than its factorization.

390431274025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262 (or 9631 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 390431274025 in words is "three hundred ninety billion, four hundred thirty-one million, two hundred seventy-four thousand, twenty-five".