391248000 has 768 divisors, whose sum is σ = 1737590400. Its totient is φ = 82944000.

The previous prime is 391247999. The next prime is 391248023. The reversal of 391248000 is 842193.

It is an unprimeable number.

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, 20591991 + ... + 20592009.

Almost surely, 2^391248000 is an apocalyptic number.

391248000 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 391248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868795200).

391248000 is an abundant number, since it is smaller than the sum of its proper divisors (1346342400).

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

391248000 is a wasteful number, since it uses less digits than its factorization.

391248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 391248000 is about 19779.9898887740. The cubic root of 391248000 is about 731.3928495854.

The spelling of 391248000 in words is "three hundred ninety-one million, two hundred forty-eight thousand".