48708438240 has 576 divisors, whose sum is σ = 197450991360. Its totient is φ = 9978716160.

The previous prime is 48708438221. The next prime is 48708438253. The reversal of 48708438240 is 4283480784.

It is a happy number.

It is a super-3 number, since 3×48708438240³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48708438240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18885271 + ... + 18887849.

It is an arithmetic number, because the mean of its divisors is an integer number (342796860).

Almost surely, 2^48708438240 is an apocalyptic number.

48708438240 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 48708438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98725495680).

48708438240 is an abundant number, since it is smaller than the sum of its proper divisors (148742553120).

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

48708438240 is a wasteful number, since it uses less digits than its factorization.

48708438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 48708438240 in words is "forty-eight billion, seven hundred eight million, four hundred thirty-eight thousand, two hundred forty".