398449152 has 320 divisors, whose sum is σ = 1306166400. Its totient is φ = 119439360.

The previous prime is 398449151. The next prime is 398449159. The reversal of 398449152 is 251944893.

398449152 is a `hidden beast` number, since 39 + 84 + 491 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 398449098 and 398449107.

It is not an unprimeable number, because it can be changed into a prime (398449151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9718252 + ... + 9718292.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^398449152 is an apocalyptic number.

398449152 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 398449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

398449152 is an abundant number, since it is smaller than the sum of its proper divisors (907717248).

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

398449152 is a wasteful number, since it uses less digits than its factorization.

398449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 398449152 is about 19961.1911468229. The cubic root of 398449152 is about 735.8528376217.

The spelling of 398449152 in words is "three hundred ninety-eight million, four hundred forty-nine thousand, one hundred fifty-two".