998509824 has 432 divisors, whose sum is σ = 3435121872. Its totient is φ = 276037632.

The previous prime is 998509823. The next prime is 998509829. The reversal of 998509824 is 428905899.

It can be written as a sum of positive squares in 8 ways, for example, as 84052224 + 914457600 = 9168^2 + 30240^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998509823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18839782 + ... + 18839834.

It is an arithmetic number, because the mean of its divisors is an integer number (7951671).

Almost surely, 2^998509824 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 998509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717560936).

998509824 is an abundant number, since it is smaller than the sum of its proper divisors (2436612048).

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

998509824 is a wasteful number, since it uses less digits than its factorization.

998509824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 998509824 is about 31599.2060659758. The cubic root of 998509824 is about 999.5030277261.

The spelling of 998509824 in words is "nine hundred ninety-eight million, five hundred nine thousand, eight hundred twenty-four".