49951440 has 480 divisors, whose sum is σ = 225628416. Its totient is φ = 9584640.

The previous prime is 49951439. The next prime is 49951477. The reversal of 49951440 is 4415994.

It is a happy number.

49951440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 49951395 and 49951404.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 942454 + ... + 942506.

Almost surely, 2^49951440 is an apocalyptic number.

49951440 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 49951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112814208).

49951440 is an abundant number, since it is smaller than the sum of its proper divisors (175676976).

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

49951440 is a wasteful number, since it uses less digits than its factorization.

49951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 49951440 is about 7067.6332672260. The cubic root of 49951440 is about 368.2838468536.

The spelling of 49951440 in words is "forty-nine million, nine hundred fifty-one thousand, four hundred forty".