390391600 has 60 divisors (see below), whose sum is σ = 939973320. Its totient is φ = 155814400.

The previous prime is 390391597. The next prime is 390391607. The reversal of 390391600 is 6193093.

It is not an unprimeable number, because it can be changed into a prime (390391607) 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, 262860 + ... + 264340.

It is an arithmetic number, because the mean of its divisors is an integer number (15666222).

Almost surely, 2^390391600 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 390391600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469986660).

390391600 is an abundant number, since it is smaller than the sum of its proper divisors (549581720).

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

390391600 is a wasteful number, since it uses less digits than its factorization.

390391600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 390391600 is about 19758.3298889355. The cubic root of 390391600 is about 730.8588128550.

The spelling of 390391600 in words is "three hundred ninety million, three hundred ninety-one thousand, six hundred".