49687200 has 216 divisors, whose sum is σ = 179551008. Its totient is φ = 12925440.

The previous prime is 49687193. The next prime is 49687213. The reversal of 49687200 is 278694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482349 + ... + 482451.

Almost surely, 2^49687200 is an apocalyptic number.

49687200 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 49687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89775504).

49687200 is an abundant number, since it is smaller than the sum of its proper divisors (129863808).

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

49687200 is a wasteful number, since it uses less digits than its factorization.

49687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 49687200 is about 7048.9148100967. The cubic root of 49687200 is about 367.6332988607.

The spelling of 49687200 in words is "forty-nine million, six hundred eighty-seven thousand, two hundred".