4099200 has 192 divisors, whose sum is σ = 15683520. Its totient is φ = 921600.

The previous prime is 4099189. The next prime is 4099213. The reversal of 4099200 is 29904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67170 + ... + 67230.

It is an arithmetic number, because the mean of its divisors is an integer number (81685).

Almost surely, 2^4099200 is an apocalyptic number.

4099200 is a gapful number since it is divisible by the number (40) 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 4099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841760).

4099200 is an abundant number, since it is smaller than the sum of its proper divisors (11584320).

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

4099200 is a wasteful number, since it uses less digits than its factorization.

4099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4099200 is about 2024.6481175750. The cubic root of 4099200 is about 160.0416558207.

The spelling of 4099200 in words is "four million, ninety-nine thousand, two hundred".