390540004624 has 135 divisors (see below), whose sum is σ = 967979992581. Its totient is φ = 152083451520.

The previous prime is 390540004609. The next prime is 390540004639. The reversal of 390540004624 is 426400045093.

It is a happy number.

The square root of 390540004624 is 624932.

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 (390540004609) and next prime (390540004639).

It can be written as a sum of positive squares in only one way, i.e., 387466411024 + 3073593600 = 622468^2 + 55440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192478042 + ... + 192480070.

Almost surely, 2^390540004624 is an apocalyptic number.

390540004624 is the 624932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390540004624

390540004624 is an abundant number, since it is smaller than the sum of its proper divisors (577439987957).

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

390540004624 is an equidigital number, since it uses as much as digits as its factorization.

390540004624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 390540004624 in words is "three hundred ninety billion, five hundred forty million, four thousand, six hundred twenty-four".