393876672 has 112 divisors (see below), whose sum is σ = 1261140480. Its totient is φ = 105910272.

The previous prime is 393876671. The next prime is 393876701. The reversal of 393876672 is 276678393.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (393876671) 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 15 ways as a sum of consecutive naturals, for example, 14229 + ... + 31467.

Almost surely, 2^393876672 is an apocalyptic number.

393876672 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 393876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630570240).

393876672 is an abundant number, since it is smaller than the sum of its proper divisors (867263808).

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

393876672 is a wasteful number, since it uses less digits than its factorization.

393876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278 (or 17268 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 393876672 is about 19846.3264106988. The cubic root of 393876672 is about 733.0271941629.

The spelling of 393876672 in words is "three hundred ninety-three million, eight hundred seventy-six thousand, six hundred seventy-two".