390299536 has 45 divisors (see below), whose sum is σ = 833056273. Its totient is φ = 177013760.

The previous prime is 390299521. The next prime is 390299551. The reversal of 390299536 is 635992093.

It is a happy number.

The square root of 390299536 is 19756.

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 (390299521) and next prime (390299551).

It can be written as a sum of positive squares in only one way, i.e., 238517136 + 151782400 = 15444^2 + 12320^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 869040 + ... + 869488.

Almost surely, 2^390299536 is an apocalyptic number.

390299536 is the 19756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390299536

390299536 is an abundant number, since it is smaller than the sum of its proper divisors (442756737).

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

390299536 is an equidigital number, since it uses as much as digits as its factorization.

390299536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 46.

The cubic root of 390299536 is about 730.8013568068.

The spelling of 390299536 in words is "three hundred ninety million, two hundred ninety-nine thousand, five hundred thirty-six".