99464400 has 180 divisors, whose sum is σ = 394578912. Its totient is φ = 22728960.

The previous prime is 99464389. The next prime is 99464419. The reversal of 99464400 is 446499.

99464400 is a `hidden beast` number, since 9 + 9 + 4 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 23227 + ... + 27173.

Almost surely, 2^99464400 is an apocalyptic number.

99464400 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 99464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197289456).

99464400 is an abundant number, since it is smaller than the sum of its proper divisors (295114512).

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

99464400 is a wasteful number, since it uses less digits than its factorization.

99464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 99464400 is about 9973.1840452285. The cubic root of 99464400 is about 463.3287211498.

The spelling of 99464400 in words is "ninety-nine million, four hundred sixty-four thousand, four hundred".