200092416 has 144 divisors (see below), whose sum is σ = 559042176. Its totient is φ = 63479808.

The previous prime is 200092393. The next prime is 200092421. The reversal of 200092416 is 614290002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2410711 + ... + 2410793.

Almost surely, 2^200092416 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 200092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279521088).

200092416 is an abundant number, since it is smaller than the sum of its proper divisors (358949760).

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

200092416 is an equidigital number, since it uses as much as digits as its factorization.

200092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 200092416 is about 14145.4026453827. The cubic root of 200092416 is about 584.8936091132.

The spelling of 200092416 in words is "two hundred million, ninety-two thousand, four hundred sixteen".