49909200 has 240 divisors, whose sum is σ = 184512000. Its totient is φ = 11404800.

The previous prime is 49909183. The next prime is 49909213. The reversal of 49909200 is 290994.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 250701 + ... + 250899.

It is an arithmetic number, because the mean of its divisors is an integer number (768800).

Almost surely, 2^49909200 is an apocalyptic number.

49909200 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 49909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256000).

49909200 is an abundant number, since it is smaller than the sum of its proper divisors (134602800).

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

49909200 is a wasteful number, since it uses less digits than its factorization.

49909200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 49909200 is about 7064.6443647221. The cubic root of 49909200 is about 368.1800080276.

The spelling of 49909200 in words is "forty-nine million, nine hundred nine thousand, two hundred".