390231600 has 480 divisors, whose sum is σ = 1514474496. Its totient is φ = 84787200.

The previous prime is 390231571. The next prime is 390231607. The reversal of 390231600 is 6132093.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (390231607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8302777 + ... + 8302823.

Almost surely, 2^390231600 is an apocalyptic number.

390231600 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 390231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757237248).

390231600 is an abundant number, since it is smaller than the sum of its proper divisors (1124242896).

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

390231600 is a wasteful number, since it uses less digits than its factorization.

390231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 390231600 is about 19754.2805487823. The cubic root of 390231600 is about 730.7589529629.

Adding to 390231600 its reverse (6132093), we get a palindrome (396363693).

The spelling of 390231600 in words is "three hundred ninety million, two hundred thirty-one thousand, six hundred".