390204090 has 48 divisors (see below), whose sum is σ = 1016286336. Its totient is φ = 103874400.

The previous prime is 390204049. The next prime is 390204103. The reversal of 390204090 is 90402093.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53355 + ... + 60225.

It is an arithmetic number, because the mean of its divisors is an integer number (21172632).

Almost surely, 2^390204090 is an apocalyptic number.

390204090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

390204090 is an abundant number, since it is smaller than the sum of its proper divisors (626082246).

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

390204090 is a wasteful number, since it uses less digits than its factorization.

390204090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390204090 is about 19753.5842317287. The cubic root of 390204090 is about 730.7417805528.

It can be divided in two parts, 390 and 204090, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 390204090 in words is "three hundred ninety million, two hundred four thousand, ninety".