393733872 has 480 divisors, whose sum is σ = 1481905152. Its totient is φ = 98537472.

The previous prime is 393733871. The next prime is 393733891. The reversal of 393733872 is 278337393.

It is a super-2 number, since 2×393733872² = 310052723920224768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393733871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10641438 + ... + 10641474.

Almost surely, 2^393733872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393733872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

393733872 is an abundant number, since it is smaller than the sum of its proper divisors (1088171280).

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

393733872 is a wasteful number, since it uses less digits than its factorization.

393733872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 393733872 is about 19842.7284414216. The cubic root of 393733872 is about 732.9385971109.

The spelling of 393733872 in words is "three hundred ninety-three million, seven hundred thirty-three thousand, eight hundred seventy-two".