49274800 has 60 divisors (see below), whose sum is σ = 120947616. Its totient is φ = 19283200.

The previous prime is 49274783. The next prime is 49274801. The reversal of 49274800 is 847294.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49274801) 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, 17490 + ... + 20110.

Almost surely, 2^49274800 is an apocalyptic number.

49274800 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 49274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60473808).

49274800 is an abundant number, since it is smaller than the sum of its proper divisors (71672816).

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

49274800 is a wasteful number, since it uses less digits than its factorization.

49274800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 49274800 is about 7019.6011282693. The cubic root of 49274800 is about 366.6133623155.

The spelling of 49274800 in words is "forty-nine million, two hundred seventy-four thousand, eight hundred".