390066900 has 72 divisors (see below), whose sum is σ = 1144551744. Its totient is φ = 102547200.

The previous prime is 390066863. The next prime is 390066961. The reversal of 390066900 is 9660093.

It is a super-2 number, since 2×390066900² = 304304372951220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12144 + ... + 30456.

It is an arithmetic number, because the mean of its divisors is an integer number (15896552).

Almost surely, 2^390066900 is an apocalyptic number.

390066900 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 390066900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572275872).

390066900 is an abundant number, since it is smaller than the sum of its proper divisors (754484844).

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

390066900 is a wasteful number, since it uses less digits than its factorization.

390066900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18401 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 390066900 is about 19750.1113920909. Note that the first 3 decimals coincide. The cubic root of 390066900 is about 730.6561311721.

The spelling of 390066900 in words is "three hundred ninety million, sixty-six thousand, nine hundred".