99478800 has 240 divisors, whose sum is σ = 362258560. Its totient is φ = 25920000.

The previous prime is 99478793. The next prime is 99478817. The reversal of 99478800 is 887499.

99478800 = T₄₂ + T₄₃ + ... + T₈₄₁.

99478800 = 42³ + 43³ + ... + 141³.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×99478800³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658725 + ... + 658875.

Almost surely, 2^99478800 is an apocalyptic number.

99478800 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 99478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181129280).

99478800 is an abundant number, since it is smaller than the sum of its proper divisors (262779760).

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

99478800 is a wasteful number, since it uses less digits than its factorization.

99478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99478800 is about 9973.9059550409. The cubic root of 99478800 is about 463.3510796071.

The spelling of 99478800 in words is "ninety-nine million, four hundred seventy-eight thousand, eight hundred".