393720 has 64 divisors (see below), whose sum is σ = 1257120. Its totient is φ = 98304.

The previous prime is 393713. The next prime is 393721. The reversal of 393720 is 27393.

393720 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2 and base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393720.

It is not an unprimeable number, because it can be changed into a prime (393721) 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, 1944 + ... + 2136.

393720 is a Friedman number, since it can be written as 20*(3+9*3^7), using all its digits and the basic arithmetic operations.

2³⁹³⁷²⁰ is an apocalyptic number.

393720 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 393720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628560).

393720 is an abundant number, since it is smaller than the sum of its proper divisors (863400).

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

393720 is a wasteful number, since it uses less digits than its factorization.

393720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 393720 is about 627.4711148730. The cubic root of 393720 is about 73.2929989399.

The spelling of 393720 in words is "three hundred ninety-three thousand, seven hundred twenty".