390366900 has 432 divisors, whose sum is σ = 1572899328. Its totient is φ = 78624000.

The previous prime is 390366881. The next prime is 390366931. The reversal of 390366900 is 9663093.

It is a super-2 number, since 2×390366900² = 304772633231220000, which contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2979835 + ... + 2979965.

Almost surely, 2^390366900 is an apocalyptic number.

390366900 is a gapful number since it is divisible by the number (30) 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 390366900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786449664).

390366900 is an abundant number, since it is smaller than the sum of its proper divisors (1182532428).

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

390366900 is a wasteful number, since it uses less digits than its factorization.

390366900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 390366900 is about 19757.7048262191. The cubic root of 390366900 is about 730.8433987653.

The spelling of 390366900 in words is "three hundred ninety million, three hundred sixty-six thousand, nine hundred".