398181252 has 144 divisors (see below), whose sum is σ = 1177848000. Its totient is φ = 103977216.

The previous prime is 398181241. The next prime is 398181257. The reversal of 398181252 is 252181893.

It is a self number, because there is not a number n which added to its sum of digits gives 398181252.

It is not an unprimeable number, because it can be changed into a prime (398181257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323374 + ... + 324602.

It is an arithmetic number, because the mean of its divisors is an integer number (8179500).

Almost surely, 2^398181252 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 398181252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588924000).

398181252 is an abundant number, since it is smaller than the sum of its proper divisors (779666748).

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

398181252 is a wasteful number, since it uses less digits than its factorization.

398181252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 398181252 is about 19954.4794970954. The cubic root of 398181252 is about 735.6878820915.

The spelling of 398181252 in words is "three hundred ninety-eight million, one hundred eighty-one thousand, two hundred fifty-two".