99852480 has 448 divisors, whose sum is σ = 436961280. Its totient is φ = 20901888.

The previous prime is 99852469. The next prime is 99852491. The reversal of 99852480 is 8425899.

99852480 is a `hidden beast` number, since 99 + 85 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (99852469) and next prime (99852491).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786177 + ... + 786303.

It is an arithmetic number, because the mean of its divisors is an integer number (975360).

Almost surely, 2^99852480 is an apocalyptic number.

99852480 is a gapful number since it is divisible by the number (90) 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 99852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218480640).

99852480 is an abundant number, since it is smaller than the sum of its proper divisors (337108800).

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

99852480 is a wasteful number, since it uses less digits than its factorization.

99852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 99852480 is about 9992.6212777229. The cubic root of 99852480 is about 463.9305286399.

The spelling of 99852480 in words is "ninety-nine million, eight hundred fifty-two thousand, four hundred eighty".