398772 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 112320.

The previous prime is 398771. The next prime is 398813. The reversal of 398772 is 277893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7498 + ... + 7550.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁹⁸⁷⁷² 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 398772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

398772 is an abundant number, since it is smaller than the sum of its proper divisors (780588).

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

398772 is a wasteful number, since it uses less digits than its factorization.

398772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 398772 is about 631.4839665423. The cubic root of 398772 is about 73.6051528371.

The spelling of 398772 in words is "three hundred ninety-eight thousand, seven hundred seventy-two".