49644800 has 54 divisors (see below), whose sum is σ = 122894478. Its totient is φ = 19855360.

The previous prime is 49644797. The next prime is 49644821. The reversal of 49644800 is 844694.

It can be written as a sum of positive squares in 3 ways, for example, as 8479744 + 41165056 = 2912^2 + 6416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2522 + ... + 10278.

Almost surely, 2^49644800 is an apocalyptic number.

49644800 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 49644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447239).

49644800 is an abundant number, since it is smaller than the sum of its proper divisors (73249678).

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

49644800 is an equidigital number, since it uses as much as digits as its factorization.

49644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 49644800 is about 7045.9066130627. The cubic root of 49644800 is about 367.5286972207.

The spelling of 49644800 in words is "forty-nine million, six hundred forty-four thousand, eight hundred".