49873200 has 240 divisors, whose sum is σ = 180821760. Its totient is φ = 11658240.

The previous prime is 49873199. The next prime is 49873207. The reversal of 49873200 is 237894.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49873207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358731 + ... + 358869.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 2^49873200 is an apocalyptic number.

49873200 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 49873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

49873200 is an abundant number, since it is smaller than the sum of its proper divisors (130948560).

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

49873200 is a wasteful number, since it uses less digits than its factorization.

49873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 49873200 is about 7062.0960061444. The cubic root of 49873200 is about 368.0914627732.

The spelling of 49873200 in words is "forty-nine million, eight hundred seventy-three thousand, two hundred".