390358896 has 80 divisors (see below), whose sum is σ = 1072922400. Its totient is φ = 121872384.

The previous prime is 390358883. The next prime is 390358907. The reversal of 390358896 is 698853093.

It is a super-3 number, since 3×390358896³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185820 + ... + 187908.

It is an arithmetic number, because the mean of its divisors is an integer number (13411530).

Almost surely, 2^390358896 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 390358896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536461200).

390358896 is an abundant number, since it is smaller than the sum of its proper divisors (682563504).

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

390358896 is a wasteful number, since it uses less digits than its factorization.

390358896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 390358896 is about 19757.5022712893. The cubic root of 390358896 is about 730.8384037119.

The spelling of 390358896 in words is "three hundred ninety million, three hundred fifty-eight thousand, eight hundred ninety-six".