398341152 has 144 divisors (see below), whose sum is σ = 1281807072. Its totient is φ = 120683520.

The previous prime is 398341133. The next prime is 398341157. The reversal of 398341152 is 251143893.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (398341157) 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, 83208 + ... + 87864.

It is an arithmetic number, because the mean of its divisors is an integer number (8901438).

Almost surely, 2^398341152 is an apocalyptic number.

398341152 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 398341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640903536).

398341152 is an abundant number, since it is smaller than the sum of its proper divisors (883465920).

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

398341152 is a wasteful number, since it uses less digits than its factorization.

398341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4673 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 398341152 is about 19958.4857141017. The cubic root of 398341152 is about 735.7863470901.

The spelling of 398341152 in words is "three hundred ninety-eight million, three hundred forty-one thousand, one hundred fifty-two".