393247872 has 192 divisors, whose sum is σ = 1202947200. Its totient is φ = 127816704.

The previous prime is 393247871. The next prime is 393247889. The reversal of 393247872 is 278742393.

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

It is not an unprimeable number, because it can be changed into a prime (393247871) 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 23 ways as a sum of consecutive naturals, for example, 1461754 + ... + 1462022.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^393247872 is an apocalyptic number.

393247872 is a gapful number since it is divisible by the number (32) 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 393247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

393247872 is an abundant number, since it is smaller than the sum of its proper divisors (809699328).

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

393247872 is an equidigital number, since it uses as much as digits as its factorization.

393247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 393247872 is about 19830.4783603422. The cubic root of 393247872 is about 732.6369087165.

The spelling of 393247872 in words is "three hundred ninety-three million, two hundred forty-seven thousand, eight hundred seventy-two".