49335200 has 72 divisors (see below), whose sum is σ = 122054688. Its totient is φ = 19470080.

The previous prime is 49335197. The next prime is 49335203. The reversal of 49335200 is 253394.

It is an interprime number because it is at equal distance from previous prime (49335197) and next prime (49335203).

It is a self number, because there is not a number n which added to its sum of digits gives 49335200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49335203) 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, 66029 + ... + 66771.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2^49335200 is an apocalyptic number.

49335200 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 49335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61027344).

49335200 is an abundant number, since it is smaller than the sum of its proper divisors (72719488).

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

49335200 is a wasteful number, since it uses less digits than its factorization.

49335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 49335200 is about 7023.9020494309. The cubic root of 49335200 is about 366.7630967679.

Adding to 49335200 its reverse (253394), we get a palindrome (49588594).

The spelling of 49335200 in words is "forty-nine million, three hundred thirty-five thousand, two hundred".