99254400 has 288 divisors, whose sum is σ = 382096080. Its totient is φ = 22579200.

The previous prime is 99254371. The next prime is 99254411. The reversal of 99254400 is 445299.

It is a super-3 number, since 3×99254400³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470295 + ... + 470505.

Almost surely, 2^99254400 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 99254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191048040).

99254400 is an abundant number, since it is smaller than the sum of its proper divisors (282841680).

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

99254400 is a wasteful number, since it uses less digits than its factorization.

99254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 99254400 is about 9962.6502498080. The cubic root of 99254400 is about 463.0024148266.

Adding to 99254400 its reverse (445299), we get a palindrome (99699699).

The spelling of 99254400 in words is "ninety-nine million, two hundred fifty-four thousand, four hundred".