49874800 has 60 divisors (see below), whose sum is σ = 121677976. Its totient is φ = 19641600.

The previous prime is 49874789. The next prime is 49874801. The reversal of 49874800 is 847894.

49874800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49874801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25870 + ... + 27730.

Almost surely, 2^49874800 is an apocalyptic number.

49874800 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 49874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60838988).

49874800 is an abundant number, since it is smaller than the sum of its proper divisors (71803176).

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

49874800 is a wasteful number, since it uses less digits than its factorization.

49874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 49874800 is about 7062.2092860521. The cubic root of 49874800 is about 368.0953990225.

The spelling of 49874800 in words is "forty-nine million, eight hundred seventy-four thousand, eight hundred".