48849840 has 240 divisors, whose sum is σ = 187675488. Its totient is φ = 11280384.

The previous prime is 48849809. The next prime is 48849863. The reversal of 48849840 is 4894884.

48849840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45).

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 47 ways as a sum of consecutive naturals, for example, 158967 + ... + 159273.

Almost surely, 2^48849840 is an apocalyptic number.

48849840 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 48849840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

48849840 is an abundant number, since it is smaller than the sum of its proper divisors (138825648).

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

48849840 is a wasteful number, since it uses less digits than its factorization.

48849840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48849840 is about 6989.2660558888. The cubic root of 48849840 is about 365.5563916851.

The spelling of 48849840 in words is "forty-eight million, eight hundred forty-nine thousand, eight hundred forty".