49948800 has 288 divisors, whose sum is σ = 185040240. Its totient is φ = 11827200.

The previous prime is 49948799. The next prime is 49948807. The reversal of 49948800 is 884994.

It is not an unprimeable number, because it can be changed into a prime (49948807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161579 + ... + 1161621.

Almost surely, 2^49948800 is an apocalyptic number.

49948800 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 49948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92520120).

49948800 is an abundant number, since it is smaller than the sum of its proper divisors (135091440).

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

49948800 is a wasteful number, since it uses less digits than its factorization.

49948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49948800 is about 7067.4464978520. The cubic root of 49948800 is about 368.2773586424.

It can be divided in two parts, 49 and 948800, that added together give a palindrome (948849).

The spelling of 49948800 in words is "forty-nine million, nine hundred forty-eight thousand, eight hundred".