398152524 has 96 divisors (see below), whose sum is σ = 1219276800. Its totient is φ = 97968960.

The previous prime is 398152519. The next prime is 398152541. The reversal of 398152524 is 425251893.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217 + ... + 28895.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^398152524 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 398152524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

398152524 is an abundant number, since it is smaller than the sum of its proper divisors (821124276).

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

398152524 is a wasteful number, since it uses less digits than its factorization.

398152524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22723 (or 22721 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 398152524 is about 19953.7596457409. The cubic root of 398152524 is about 735.6701888512.

The spelling of 398152524 in words is "three hundred ninety-eight million, one hundred fifty-two thousand, five hundred twenty-four".