49931200 has 84 divisors (see below), whose sum is σ = 134078472. Its totient is φ = 18150400.

The previous prime is 49931191. The next prime is 49931209. The reversal of 49931200 is 213994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49931191) and next prime (49931209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49931209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16182 + ... + 19018.

Almost surely, 2^49931200 is an apocalyptic number.

49931200 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 49931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67039236).

49931200 is an abundant number, since it is smaller than the sum of its proper divisors (84147272).

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

49931200 is a wasteful number, since it uses less digits than its factorization.

49931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 49931200 is about 7066.2012425348. The cubic root of 49931200 is about 368.2340980571.

The spelling of 49931200 in words is "forty-nine million, nine hundred thirty-one thousand, two hundred".