398745152 has 56 divisors (see below), whose sum is σ = 875224056. Its totient is φ = 179048448.

The previous prime is 398745091. The next prime is 398745163. The reversal of 398745152 is 251547893.

It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 384787456 = 3736^2 + 19616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24308 + ... + 37260.

It is an arithmetic number, because the mean of its divisors is an integer number (15629001).

Almost surely, 2^398745152 is an apocalyptic number.

398745152 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 398745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437612028).

398745152 is an abundant number, since it is smaller than the sum of its proper divisors (476478904).

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

398745152 is a wasteful number, since it uses less digits than its factorization.

398745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015 (or 13005 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 398745152 is about 19968.6041575269. The cubic root of 398745152 is about 736.0350093618.

The spelling of 398745152 in words is "three hundred ninety-eight million, seven hundred forty-five thousand, one hundred fifty-two".