398475 has 72 divisors (see below), whose sum is σ = 928512. Its totient is φ = 158400.

The previous prime is 398473. The next prime is 398477. The reversal of 398475 is 574893.

398475 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (398473) and next prime (398477).

It is not a de Polignac number, because 398475 - 2¹ = 398473 is a prime.

398475 is strictly pandigital in base 7.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398475.

It is not an unprimeable number, because it can be changed into a prime (398471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17314 + ... + 17336.

It is an arithmetic number, because the mean of its divisors is an integer number (12896).

2³⁹⁸⁴⁷⁵ is an apocalyptic number.

398475 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

398475 is an abundant number, since it is smaller than the sum of its proper divisors (530037).

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

398475 is a wasteful number, since it uses less digits than its factorization.

398475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 398475 is about 631.2487623750. The cubic root of 398475 is about 73.5868749240.

The spelling of 398475 in words is "three hundred ninety-eight thousand, four hundred seventy-five".