49902800 has 60 divisors (see below), whose sum is σ = 121604940. Its totient is φ = 19676160.

The previous prime is 49902793. The next prime is 49902821. The reversal of 49902800 is 820994.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 46185616 = 1928^2 + 6796^2 .

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 11 ways as a sum of consecutive naturals, for example, 28346 + ... + 30054.

It is an arithmetic number, because the mean of its divisors is an integer number (2026749).

Almost surely, 2^49902800 is an apocalyptic number.

49902800 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 49902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60802470).

49902800 is an abundant number, since it is smaller than the sum of its proper divisors (71702140).

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

49902800 is a wasteful number, since it uses less digits than its factorization.

49902800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 49902800 is about 7064.1913903857. The cubic root of 49902800 is about 368.1642697617.

The spelling of 49902800 in words is "forty-nine million, nine hundred two thousand, eight hundred".