398724 has 24 divisors (see below), whose sum is σ = 940800. Its totient is φ = 131424.

The previous prime is 398711. The next prime is 398729. The reversal of 398724 is 427893.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398724.

It is not an unprimeable number, because it can be changed into a prime (398729) by changing a digit.

398724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1677 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2³⁹⁸⁷²⁴ is an apocalyptic number.

It is an amenable number.

398724 is an abundant number, since it is smaller than the sum of its proper divisors (542076).

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

398724 is a wasteful number, since it uses less digits than its factorization.

398724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 398724 is about 631.4459596830. The cubic root of 398724 is about 73.6021994459.

The spelling of 398724 in words is "three hundred ninety-eight thousand, seven hundred twenty-four".