49918320 has 240 divisors, whose sum is σ = 182800800. Its totient is φ = 12165120.

The previous prime is 49918259. The next prime is 49918331. The reversal of 49918320 is 2381994.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560836 + ... + 560924.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^49918320 is an apocalyptic number.

49918320 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 49918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

49918320 is an abundant number, since it is smaller than the sum of its proper divisors (132882480).

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

49918320 is a wasteful number, since it uses less digits than its factorization.

49918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49918320 is about 7065.2898029734. The cubic root of 49918320 is about 368.2024327320.

The spelling of 49918320 in words is "forty-nine million, nine hundred eighteen thousand, three hundred twenty".