393213996 has 144 divisors (see below), whose sum is σ = 1179360000. Its totient is φ = 108141696.

The previous prime is 393213983. The next prime is 393214001. The reversal of 393213996 is 699312393.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787755 + ... + 788253.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^393213996 is an apocalyptic number.

393213996 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 393213996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680000).

393213996 is an abundant number, since it is smaller than the sum of its proper divisors (786146004).

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

393213996 is a wasteful number, since it uses less digits than its factorization.

393213996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 393213996 is about 19829.6242021880. The cubic root of 393213996 is about 732.6158706534.

The spelling of 393213996 in words is "three hundred ninety-three million, two hundred thirteen thousand, nine hundred ninety-six".