390384900 has 144 divisors (see below), whose sum is σ = 1263252480. Its totient is φ = 103420800.

The previous prime is 390384881. The next prime is 390384931. The reversal of 390384900 is 9483093.

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

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, 515322 + ... + 516078.

Almost surely, 2^390384900 is an apocalyptic number.

390384900 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 390384900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631626240).

390384900 is an abundant number, since it is smaller than the sum of its proper divisors (872867580).

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

390384900 is a wasteful number, since it uses less digits than its factorization.

390384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

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

The square root of 390384900 is about 19758.1603394648. The cubic root of 390384900 is about 730.8546317694.

The spelling of 390384900 in words is "three hundred ninety million, three hundred eighty-four thousand, nine hundred".