398752 has 24 divisors (see below), whose sum is σ = 832356. Its totient is φ = 187392.

The previous prime is 398731. The next prime is 398759. The reversal of 398752 is 257893.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 80656 = 564^2 + 284^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (398759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 910.

2³⁹⁸⁷⁵² is an apocalyptic number.

398752 is a gapful number since it is divisible by the number (32) 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 398752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416178).

398752 is an abundant number, since it is smaller than the sum of its proper divisors (433604).

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

398752 is a wasteful number, since it uses less digits than its factorization.

398752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 398752 is about 631.4681306289. The cubic root of 398752 is about 73.6039222862.

The spelling of 398752 in words is "three hundred ninety-eight thousand, seven hundred fifty-two".