390474400 has 72 divisors (see below), whose sum is σ = 975500064. Its totient is φ = 152544000.

The previous prime is 390474389. The next prime is 390474401. The reversal of 390474400 is 4474093.

It is not an unprimeable number, because it can be changed into a prime (390474401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28725 + ... + 40075.

It is an arithmetic number, because the mean of its divisors is an integer number (13548612).

Almost surely, 2^390474400 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 390474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487750032).

390474400 is an abundant number, since it is smaller than the sum of its proper divisors (585025664).

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

390474400 is a wasteful number, since it uses less digits than its factorization.

390474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11414 (or 11401 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 390474400 is about 19760.4250966420. The cubic root of 390474400 is about 730.9104796360.

The spelling of 390474400 in words is "three hundred ninety million, four hundred seventy-four thousand, four hundred".