393232896 has 240 divisors, whose sum is σ = 1322665344. Its totient is φ = 110149632.

The previous prime is 393232877. The next prime is 393232897. The reversal of 393232896 is 698232393.

It is a super-2 number, since 2×393232896² = 309264220993093632, 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 (393232897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354605 + ... + 2354771.

Almost surely, 2^393232896 is an apocalyptic number.

393232896 is a gapful number since it is divisible by the number (36) 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 393232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661332672).

393232896 is an abundant number, since it is smaller than the sum of its proper divisors (929432448).

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

393232896 is a wasteful number, since it uses less digits than its factorization.

393232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 393232896 is about 19830.1007561737. The cubic root of 393232896 is about 732.6276082977.

It can be divided in two parts, 393 and 232896, that added together give a square (233289 = 483²).

The spelling of 393232896 in words is "three hundred ninety-three million, two hundred thirty-two thousand, eight hundred ninety-six".