49455360 has 252 divisors, whose sum is σ = 180961452. Its totient is φ = 12939264.

The previous prime is 49455349. The next prime is 49455377. The reversal of 49455360 is 6355494.

49455360 = T₁₃₉ + T₁₄₀ + ... + T₆₆₈.

It is a happy number.

49455360 is a `hidden beast` number, since 49 + 4 + 553 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 22581504 = 5184^2 + 4752^2 .

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 27 ways as a sum of consecutive naturals, for example, 933094 + ... + 933146.

It is an arithmetic number, because the mean of its divisors is an integer number (718101).

Almost surely, 2^49455360 is an apocalyptic number.

49455360 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 49455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90480726).

49455360 is an abundant number, since it is smaller than the sum of its proper divisors (131506092).

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

49455360 is an frugal number, since it uses more digits than its factorization.

49455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 49455360 is about 7032.4504975151. The cubic root of 49455360 is about 367.0606160720.

The spelling of 49455360 in words is "forty-nine million, four hundred fifty-five thousand, three hundred sixty".