390638976 has 192 divisors, whose sum is σ = 1300708080. Its totient is φ = 102961152.

The previous prime is 390638951. The next prime is 390638981. The reversal of 390638976 is 679836093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243810 + ... + 245406.

Almost surely, 2^390638976 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 390638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650354040).

390638976 is an abundant number, since it is smaller than the sum of its proper divisors (910069104).

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

390638976 is a wasteful number, since it uses less digits than its factorization.

390638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 390638976 is about 19764.5889408305. The cubic root of 390638976 is about 731.0131525446.

The spelling of 390638976 in words is "three hundred ninety million, six hundred thirty-eight thousand, nine hundred seventy-six".