393820920 has 128 divisors (see below), whose sum is σ = 1317729600. Its totient is φ = 104620032.

The previous prime is 393820913. The next prime is 393820951. The reversal of 393820920 is 29028393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380724 + ... + 381756.

Almost surely, 2^393820920 is an apocalyptic number.

393820920 is a gapful number since it is divisible by the number (30) 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 393820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658864800).

393820920 is an abundant number, since it is smaller than the sum of its proper divisors (923908680).

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

393820920 is a wasteful number, since it uses less digits than its factorization.

393820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 393820920 is about 19844.9217685533. The cubic root of 393820920 is about 732.9926066355.

The spelling of 393820920 in words is "three hundred ninety-three million, eight hundred twenty thousand, nine hundred twenty".