393480 has 48 divisors (see below), whose sum is σ = 1279980. Its totient is φ = 104832.

The previous prime is 393479. The next prime is 393487. The reversal of 393480 is 84393.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 26244 = 606^2 + 162^2 .

It is not an unprimeable number, because it can be changed into a prime (393487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 906.

2³⁹³⁴⁸⁰ is an apocalyptic number.

393480 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 393480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639990).

393480 is an abundant number, since it is smaller than the sum of its proper divisors (886500).

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

393480 is a wasteful number, since it uses less digits than its factorization.

393480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 393480 is about 627.2798418569. The cubic root of 393480 is about 73.2781035022.

The spelling of 393480 in words is "three hundred ninety-three thousand, four hundred eighty".