398624 has 12 divisors (see below), whose sum is σ = 784854. Its totient is φ = 199296.

The previous prime is 398621. The next prime is 398627. The reversal of 398624 is 426893.

It is an interprime number because it is at equal distance from previous prime (398621) and next prime (398627).

It can be written as a sum of positive squares in only one way, i.e., 283024 + 115600 = 532^2 + 340^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12457 = 398624 / (3 + 9 + 8 + 6 + 2 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398624.

It is not an unprimeable number, because it can be changed into a prime (398621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6197 + ... + 6260.

2³⁹⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

398624 is a deficient number, since it is larger than the sum of its proper divisors (386230).

398624 is a wasteful number, since it uses less digits than its factorization.

398624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12467 (or 12459 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 398624 is about 631.3667713778. The cubic root of 398624 is about 73.5960457863.

The spelling of 398624 in words is "three hundred ninety-eight thousand, six hundred twenty-four".