398251152 has 120 divisors (see below), whose sum is σ = 1206823800. Its totient is φ = 121872384.

The previous prime is 398251123. The next prime is 398251159. The reversal of 398251152 is 251152893.

398251152 is a `hidden beast` number, since 3 + 98 + 2 + 511 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7160976 + 391090176 = 2676^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398251159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428224 + ... + 429152.

It is an arithmetic number, because the mean of its divisors is an integer number (10056865).

Almost surely, 2^398251152 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 398251152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603411900).

398251152 is an abundant number, since it is smaller than the sum of its proper divisors (808572648).

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

398251152 is a wasteful number, since it uses less digits than its factorization.

398251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 398251152 is about 19956.2309066617. The cubic root of 398251152 is about 735.7309291326.

The spelling of 398251152 in words is "three hundred ninety-eight million, two hundred fifty-one thousand, one hundred fifty-two".