390093600 has 144 divisors (see below), whose sum is σ = 1367537472. Its totient is φ = 96015360.

The previous prime is 390093569. The next prime is 390093607. The reversal of 390093600 is 6390093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (390093607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24949 + ... + 37451.

It is an arithmetic number, because the mean of its divisors is an integer number (9496788).

Almost surely, 2^390093600 is an apocalyptic number.

390093600 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 390093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683768736).

390093600 is an abundant number, since it is smaller than the sum of its proper divisors (977443872).

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

390093600 is a wasteful number, since it uses less digits than its factorization.

390093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12539 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 390093600 is about 19750.7873260789. The cubic root of 390093600 is about 730.6728018796.

The spelling of 390093600 in words is "three hundred ninety million, ninety-three thousand, six hundred".