393376672 has 48 divisors (see below), whose sum is σ = 840157920. Its totient is φ = 180225792.

The previous prime is 393376667. The next prime is 393376681. The reversal of 393376672 is 276673393.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54423 + ... + 61225.

It is an arithmetic number, because the mean of its divisors is an integer number (17503290).

Almost surely, 2^393376672 is an apocalyptic number.

393376672 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 393376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420078960).

393376672 is an abundant number, since it is smaller than the sum of its proper divisors (446781248).

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

393376672 is a wasteful number, since it uses less digits than its factorization.

393376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6957 counting only the distinct ones).

The product of its digits is 857304, while the sum is 46.

The square root of 393376672 is about 19833.7256207703. The cubic root of 393376672 is about 732.7168865457.

The spelling of 393376672 in words is "three hundred ninety-three million, three hundred seventy-six thousand, six hundred seventy-two".