49921200 has 270 divisors, whose sum is σ = 202236684. Its totient is φ = 11370240.

The previous prime is 49921199. The next prime is 49921211. The reversal of 49921200 is 212994.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176259 + ... + 176541.

Almost surely, 2^49921200 is an apocalyptic number.

49921200 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 49921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101118342).

49921200 is an abundant number, since it is smaller than the sum of its proper divisors (152315484).

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

49921200 is a wasteful number, since it uses less digits than its factorization.

49921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49921200 is about 7065.4936133295. The cubic root of 49921200 is about 368.2095136501.

The spelling of 49921200 in words is "forty-nine million, nine hundred twenty-one thousand, two hundred".