49084200 has 288 divisors, whose sum is σ = 187443360. Its totient is φ = 11404800.

The previous prime is 49084193. The next prime is 49084213. The reversal of 49084200 is 248094.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 732567 + ... + 732633.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 2^49084200 is an apocalyptic number.

49084200 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 49084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

49084200 is an abundant number, since it is smaller than the sum of its proper divisors (138359160).

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

49084200 is a wasteful number, since it uses less digits than its factorization.

49084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 49084200 is about 7006.0117042437. The cubic root of 49084200 is about 366.1400521077.

It can be divided in two parts, 49084 and 200, that added together give a square (49284 = 222²).

The spelling of 49084200 in words is "forty-nine million, eighty-four thousand, two hundred".