393993964 has 48 divisors (see below), whose sum is σ = 850486336. Its totient is φ = 155520000.

The previous prime is 393993961. The next prime is 393993991. The reversal of 393993964 is 469399393.

It is not an unprimeable number, because it can be changed into a prime (393993961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217864 + ... + 219664.

Almost surely, 2^393993964 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 393993964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425243168).

393993964 is an abundant number, since it is smaller than the sum of its proper divisors (456492372).

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

393993964 is a wasteful number, since it uses less digits than its factorization.

393993964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2424 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 55.

The square root of 393993964 is about 19849.2811960534. The cubic root of 393993964 is about 733.0999493328.

It can be divided in two parts, 3939 and 93964, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 393993964 in words is "three hundred ninety-three million, nine hundred ninety-three thousand, nine hundred sixty-four".