48846240 has 120 divisors (see below), whose sum is σ = 172432260. Its totient is φ = 13022208.

The previous prime is 48846233. The next prime is 48846251. The reversal of 48846240 is 4264884.

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 571536 = 6948^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 48846195 and 48846204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11076 + ... + 14844.

Almost surely, 2^48846240 is an apocalyptic number.

48846240 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 48846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86216130).

48846240 is an abundant number, since it is smaller than the sum of its proper divisors (123586020).

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

48846240 is a wasteful number, since it uses less digits than its factorization.

48846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48846240 is about 6989.0085133730. The cubic root of 48846240 is about 365.5474115442.

The spelling of 48846240 in words is "forty-eight million, eight hundred forty-six thousand, two hundred forty".