390456000 has 672 divisors, whose sum is σ = 1668962880. Its totient is φ = 86016000.

The previous prime is 390455993. The next prime is 390456007. The reversal of 390456000 is 654093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390455993) and next prime (390456007).

It is not an unprimeable number, because it can be changed into a prime (390456007) 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, 13463986 + ... + 13464014.

Almost surely, 2^390456000 is an apocalyptic number.

390456000 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 390456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834481440).

390456000 is an abundant number, since it is smaller than the sum of its proper divisors (1278506880).

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

390456000 is a wasteful number, since it uses less digits than its factorization.

390456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 390456000 is about 19759.9595141286. The cubic root of 390456000 is about 730.8989987603.

The spelling of 390456000 in words is "three hundred ninety million, four hundred fifty-six thousand".