48813840 has 200 divisors, whose sum is σ = 175726848. Its totient is φ = 12597120.

The previous prime is 48813839. The next prime is 48813857. The reversal of 48813840 is 4831884.

48813840 is a `hidden beast` number, since 488 + 138 + 40 = 666.

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 = 48813795 and 48813804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1574625 + ... + 1574655.

Almost surely, 2^48813840 is an apocalyptic number.

48813840 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 48813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87863424).

48813840 is an abundant number, since it is smaller than the sum of its proper divisors (126913008).

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

48813840 is an frugal number, since it uses more digits than its factorization.

48813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48813840 is about 6986.6902035227. The cubic root of 48813840 is about 365.4665704138.

The spelling of 48813840 in words is "forty-eight million, eight hundred thirteen thousand, eight hundred forty".