390900 has 36 divisors (see below), whose sum is σ = 1131872. Its totient is φ = 104160.

The previous prime is 390893. The next prime is 390953. The reversal of 390900 is 9093.

390900 = T₁₂₉ + T₁₃₀ + ... + T₁₆₄.

It is a congruent number.

It is an unprimeable number.

390900 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 352 + ... + 951.

2³⁹⁰⁹⁰⁰ is an apocalyptic number.

390900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390900 is an abundant number, since it is smaller than the sum of its proper divisors (740972).

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

390900 is a wasteful number, since it uses less digits than its factorization.

390900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 390900 is about 625.2199612936. The cubic root of 390900 is about 73.1175936688.

Adding to 390900 its reverse (9093), we get a palindrome (399993).

The spelling of 390900 in words is "three hundred ninety thousand, nine hundred".