398532096 has 160 divisors (see below), whose sum is σ = 1194209280. Its totient is φ = 131217408.

The previous prime is 398532077. The next prime is 398532107. The reversal of 398532096 is 690235893.

398532096 is a `hidden beast` number, since 398 + 53 + 209 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755535 + ... + 1755761.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^398532096 is an apocalyptic number.

398532096 is a gapful number since it is divisible by the number (36) 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 398532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

398532096 is an abundant number, since it is smaller than the sum of its proper divisors (795677184).

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

398532096 is a wasteful number, since it uses less digits than its factorization.

398532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 398532096 is about 19963.2686702353. The cubic root of 398532096 is about 735.9038941935.

The spelling of 398532096 in words is "three hundred ninety-eight million, five hundred thirty-two thousand, ninety-six".