390045215296 has 189 divisors, whose sum is σ = 875036920611. Its totient is φ = 172371936000.

The previous prime is 390045215267. The next prime is 390045215299. The reversal of 390045215296 is 692512540093.

The square root of 390045215296 is 624536.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390045215299) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2583080821 + ... + 2583080971.

Almost surely, 2^390045215296 is an apocalyptic number.

390045215296 is the 624536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390045215296

390045215296 is an abundant number, since it is smaller than the sum of its proper divisors (484991705315).

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

390045215296 is an equidigital number, since it uses as much as digits as its factorization.

390045215296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 390045215296 in words is "three hundred ninety billion, forty-five million, two hundred fifteen thousand, two hundred ninety-six".