49874400 has 144 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 13294080.

The previous prime is 49874387. The next prime is 49874401. The reversal of 49874400 is 447894.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49874401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20446 + ... + 22754.

It is an arithmetic number, because the mean of its divisors is an integer number (1253175).

Almost surely, 2^49874400 is an apocalyptic number.

49874400 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 49874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90228600).

49874400 is an abundant number, since it is smaller than the sum of its proper divisors (130582800).

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

49874400 is a wasteful number, since it uses less digits than its factorization.

49874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49874400 is about 7062.1809662455. The cubic root of 49874400 is about 368.0944149680.

The spelling of 49874400 in words is "forty-nine million, eight hundred seventy-four thousand, four hundred".