390083904 has 336 divisors, whose sum is σ = 1417685760. Its totient is φ = 104509440.

The previous prime is 390083899. The next prime is 390083923. The reversal of 390083904 is 409380093.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439289 + ... + 1439559.

Almost surely, 2^390083904 is an apocalyptic number.

390083904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708842880).

390083904 is an abundant number, since it is smaller than the sum of its proper divisors (1027601856).

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

390083904 is a wasteful number, since it uses less digits than its factorization.

390083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390083904 is about 19750.5418659843. The cubic root of 390083904 is about 730.6667480657. Note that the first 3 decimals are identical.

The spelling of 390083904 in words is "three hundred ninety million, eighty-three thousand, nine hundred four".