49939200 has 324 divisors, whose sum is σ = 194527480. Its totient is φ = 12533760.

The previous prime is 49939181. The next prime is 49939207. The reversal of 49939200 is 293994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (49939207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2937592 + ... + 2937608.

Almost surely, 2^49939200 is an apocalyptic number.

49939200 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 49939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97263740).

49939200 is an abundant number, since it is smaller than the sum of its proper divisors (144588280).

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

49939200 is a wasteful number, since it uses less digits than its factorization.

49939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 49939200 is about 7066.7672948810. The cubic root of 49939200 is about 368.2537632195.

The spelling of 49939200 in words is "forty-nine million, nine hundred thirty-nine thousand, two hundred".