398134272 has 176 divisors, whose sum is σ = 1134856800. Its totient is φ = 123863040.

The previous prime is 398134249. The next prime is 398134337. The reversal of 398134272 is 272431893.

It is a self number, because there is not a number n which added to its sum of digits gives 398134272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3652554 + ... + 3652662.

It is an arithmetic number, because the mean of its divisors is an integer number (6448050).

Almost surely, 2^398134272 is an apocalyptic number.

398134272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567428400).

398134272 is an abundant number, since it is smaller than the sum of its proper divisors (736722528).

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

398134272 is a wasteful number, since it uses less digits than its factorization.

398134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 398134272 is about 19953.3022830809. The cubic root of 398134272 is about 735.6589472150.

The spelling of 398134272 in words is "three hundred ninety-eight million, one hundred thirty-four thousand, two hundred seventy-two".