390316640 has 96 divisors (see below), whose sum is σ = 1057432320. Its totient is φ = 133369344.

The previous prime is 390316637. The next prime is 390316649. The reversal of 390316640 is 46613093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 390316597 and 390316606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390316649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630251 + ... + 630869.

It is an arithmetic number, because the mean of its divisors is an integer number (11014920).

Almost surely, 2^390316640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528716160).

390316640 is an abundant number, since it is smaller than the sum of its proper divisors (667115680).

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

390316640 is a wasteful number, since it uses less digits than its factorization.

390316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 390316640 is about 19756.4328764076. The cubic root of 390316640 is about 730.8120318933.

The spelling of 390316640 in words is "three hundred ninety million, three hundred sixteen thousand, six hundred forty".