390204000 has 192 divisors, whose sum is σ = 1420735680. Its totient is φ = 104025600.

The previous prime is 390203971. The next prime is 390204049. The reversal of 390204000 is 402093.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106194 + ... + 109806.

It is an arithmetic number, because the mean of its divisors is an integer number (7399665).

Almost surely, 2^390204000 is an apocalyptic number.

390204000 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 390204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710367840).

390204000 is an abundant number, since it is smaller than the sum of its proper divisors (1030531680).

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

390204000 is a wasteful number, since it uses less digits than its factorization.

390204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 390204000 is about 19753.5819536610. The cubic root of 390204000 is about 730.7417243713.

Adding to 390204000 its reverse (402093), we get a palindrome (390606093).

The spelling of 390204000 in words is "three hundred ninety million, two hundred four thousand".