390902400 has 432 divisors, whose sum is σ = 1628414190. Its totient is φ = 89026560.

The previous prime is 390902389. The next prime is 390902429. The reversal of 390902400 is 4209093.

It can be written as a sum of positive squares in 3 ways, for example, as 223562304 + 167340096 = 14952^2 + 12936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411062 + ... + 1411338.

Almost surely, 2^390902400 is an apocalyptic number.

390902400 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 390902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814207095).

390902400 is an abundant number, since it is smaller than the sum of its proper divisors (1237511790).

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

390902400 is a wasteful number, since it uses less digits than its factorization.

390902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390902400 is about 19771.2518571789. The cubic root of 390902400 is about 731.1774330794.

The spelling of 390902400 in words is "three hundred ninety million, nine hundred two thousand, four hundred".