390912000 has 192 divisors, whose sum is σ = 1303192800. Its totient is φ = 104038400.

The previous prime is 390911951. The next prime is 390912001. The reversal of 390912000 is 219093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390912001) 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 15 ways as a sum of consecutive naturals, for example, 767746 + ... + 768254.

Almost surely, 2^390912000 is an apocalyptic number.

390912000 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 390912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651596400).

390912000 is an abundant number, since it is smaller than the sum of its proper divisors (912280800).

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

390912000 is an equidigital number, since it uses as much as digits as its factorization.

390912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 390912000 is about 19771.4946324247. The cubic root of 390912000 is about 731.1834185854.

The spelling of 390912000 in words is "three hundred ninety million, nine hundred twelve thousand".