393097952 has 48 divisors (see below), whose sum is σ = 836382960. Its totient is φ = 180790272.

The previous prime is 393097907. The next prime is 393097963. The reversal of 393097952 is 259790393.

It is a junction number, because it is equal to n+sod(n) for n = 393097897 and 393097906.

It is a congruent number.

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, 128699 + ... + 131717.

It is an arithmetic number, because the mean of its divisors is an integer number (17424645).

Almost surely, 2^393097952 is an apocalyptic number.

393097952 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 393097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418191480).

393097952 is an abundant number, since it is smaller than the sum of its proper divisors (443285008).

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

393097952 is a wasteful number, since it uses less digits than its factorization.

393097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 47.

The square root of 393097952 is about 19826.6979600739. The cubic root of 393097952 is about 732.5437945137.

The spelling of 393097952 in words is "three hundred ninety-three million, ninety-seven thousand, nine hundred fifty-two".