393787992 has 64 divisors (see below), whose sum is σ = 1062432000. Its totient is φ = 120910464.

The previous prime is 393787969. The next prime is 393787997. The reversal of 393787992 is 299787393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393787997) 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, 192109 + ... + 194147.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 2^393787992 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 393787992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216000).

393787992 is an abundant number, since it is smaller than the sum of its proper divisors (668644008).

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

393787992 is a wasteful number, since it uses less digits than its factorization.

393787992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2676 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 57.

The square root of 393787992 is about 19844.0921183107. The cubic root of 393787992 is about 732.9721771696.

The spelling of 393787992 in words is "three hundred ninety-three million, seven hundred eighty-seven thousand, nine hundred ninety-two".