49514400 has 324 divisors, whose sum is σ = 196561638. Its totient is φ = 11658240.

The previous prime is 49514389. The next prime is 49514401. The reversal of 49514400 is 441594.

49514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27499536 + 22014864 = 5244^2 + 4692^2 .

It is not an unprimeable number, because it can be changed into a prime (49514401) 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 53 ways as a sum of consecutive naturals, for example, 2152789 + ... + 2152811.

Almost surely, 2^49514400 is an apocalyptic number.

49514400 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 49514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280819).

49514400 is an abundant number, since it is smaller than the sum of its proper divisors (147047238).

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

49514400 is a wasteful number, since it uses less digits than its factorization.

49514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 49514400 is about 7036.6469287580. The cubic root of 49514400 is about 367.2066241133.

Adding to 49514400 its reverse (441594), we get a palindrome (49955994).

The spelling of 49514400 in words is "forty-nine million, five hundred fourteen thousand, four hundred".