390744000 has 392 divisors, whose sum is σ = 1472507088. Its totient is φ = 102643200.

The previous prime is 390743971. The next prime is 390744001. The reversal of 390744000 is 447093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390744001) 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 55 ways as a sum of consecutive naturals, for example, 5831967 + ... + 5832033.

Almost surely, 2^390744000 is an apocalyptic number.

390744000 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 390744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736253544).

390744000 is an abundant number, since it is smaller than the sum of its proper divisors (1081763088).

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

390744000 is an frugal number, since it uses more digits than its factorization.

390744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 390744000 is about 19767.2456351410. The cubic root of 390744000 is about 731.0786580802.

The spelling of 390744000 in words is "three hundred ninety million, seven hundred forty-four thousand".