393552 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 131040.

The previous prime is 393551. The next prime is 393557. The reversal of 393552 is 255393.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2³⁹³⁵⁵² 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 393552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

393552 is an abundant number, since it is smaller than the sum of its proper divisors (737328).

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

393552 is a wasteful number, since it uses less digits than its factorization.

393552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 393552 is about 627.3372298852. The cubic root of 393552 is about 73.2825727693.

The spelling of 393552 in words is "three hundred ninety-three thousand, five hundred fifty-two".