48918240 has 288 divisors, whose sum is σ = 200019456. Its totient is φ = 10644480.

The previous prime is 48918223. The next prime is 48918251. The reversal of 48918240 is 4281984.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 48918195 and 48918204.

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, 231735 + ... + 231945.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 2^48918240 is an apocalyptic number.

48918240 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 48918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

48918240 is an abundant number, since it is smaller than the sum of its proper divisors (151101216).

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

48918240 is a wasteful number, since it uses less digits than its factorization.

48918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48918240 is about 6994.1575618512. The cubic root of 48918240 is about 365.7269305989.

It can be divided in two parts, 4891 and 8240, that added together give a palindrome (13131).

The spelling of 48918240 in words is "forty-eight million, nine hundred eighteen thousand, two hundred forty".