49942200 has 384 divisors, whose sum is σ = 205701120. Its totient is φ = 9715200.

The previous prime is 49942199. The next prime is 49942201. The reversal of 49942200 is 224994.

It is an interprime number because it is at equal distance from previous prime (49942199) and next prime (49942201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49942201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1062577 + ... + 1062623.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 2^49942200 is an apocalyptic number.

49942200 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 49942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

49942200 is an abundant number, since it is smaller than the sum of its proper divisors (155758920).

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

49942200 is a wasteful number, since it uses less digits than its factorization.

49942200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 49942200 is about 7066.9795528217. The cubic root of 49942200 is about 368.2611371140.

It can be divided in two parts, 49 and 942200, that added together give a palindrome (942249).

The spelling of 49942200 in words is "forty-nine million, nine hundred forty-two thousand, two hundred".