49021200 has 300 divisors, whose sum is σ = 188375220. Its totient is φ = 12165120.

The previous prime is 49021187. The next prime is 49021213. The reversal of 49021200 is 212094.

It is an interprime number because it is at equal distance from previous prime (49021187) and next prime (49021213).

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 47775744 = 1116^2 + 6912^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550756 + ... + 550844.

Almost surely, 2^49021200 is an apocalyptic number.

49021200 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 49021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187610).

49021200 is an abundant number, since it is smaller than the sum of its proper divisors (139354020).

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

49021200 is a wasteful number, since it uses less digits than its factorization.

49021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49021200 is about 7001.5141219596. The cubic root of 49021200 is about 365.9833370538.

Adding to 49021200 its reverse (212094), we get a palindrome (49233294).

The spelling of 49021200 in words is "forty-nine million, twenty-one thousand, two hundred".