398052 has 18 divisors (see below), whose sum is σ = 1006278. Its totient is φ = 132672.

The previous prime is 398039. The next prime is 398053. The reversal of 398052 is 250893.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 112896 = 534^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (398053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5493 + ... + 5564.

2³⁹⁸⁰⁵² is an apocalyptic number.

It is an amenable number.

398052 is an abundant number, since it is smaller than the sum of its proper divisors (608226).

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

398052 is a wasteful number, since it uses less digits than its factorization.

398052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 398052 is about 630.9136232481. The cubic root of 398052 is about 73.5608270591.

It can be divided in two parts, 39 and 8052, that multiplied together give a triangular number (314028 = T₇₉₂).

The spelling of 398052 in words is "three hundred ninety-eight thousand, fifty-two".