390301900 has 54 divisors (see below), whose sum is σ = 870769788. Its totient is φ = 151848000.

The previous prime is 390301897. The next prime is 390301921. The reversal of 390301900 is 9103093.

It is a super-2 number, since 2×390301900² = 304671146287220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 17 ways as a sum of consecutive naturals, for example, 135475 + ... + 138325.

Almost surely, 2^390301900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390301900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435384894).

390301900 is an abundant number, since it is smaller than the sum of its proper divisors (480467888).

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

390301900 is a wasteful number, since it uses less digits than its factorization.

390301900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 390301900 is about 19756.0598298345. The cubic root of 390301900 is about 730.8028322642.

Adding to 390301900 its reverse (9103093), we get a palindrome (399404993).

The spelling of 390301900 in words is "three hundred ninety million, three hundred one thousand, nine hundred".