49867200 has 126 divisors (see below), whose sum is σ = 177290984. Its totient is φ = 13294080.

The previous prime is 49867187. The next prime is 49867217. The reversal of 49867200 is 276894.

49867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12669 + ... + 16131.

Almost surely, 2^49867200 is an apocalyptic number.

49867200 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 49867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88645492).

49867200 is an abundant number, since it is smaller than the sum of its proper divisors (127423784).

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

49867200 is a wasteful number, since it uses less digits than its factorization.

49867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3473 counting only the distinct ones).

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

The square root of 49867200 is about 7061.6711903062. The cubic root of 49867200 is about 368.0767010886.

The spelling of 49867200 in words is "forty-nine million, eight hundred sixty-seven thousand, two hundred".