48484800 has 504 divisors, whose sum is σ = 217826336. Its totient is φ = 9953280.

The previous prime is 48484783. The next prime is 48484811. The reversal of 48484800 is 848484.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310382 + ... + 1310418.

Almost surely, 2^48484800 is an apocalyptic number.

48484800 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 48484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108913168).

48484800 is an abundant number, since it is smaller than the sum of its proper divisors (169341536).

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

48484800 is a wasteful number, since it uses less digits than its factorization.

48484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48484800 is about 6963.1027566739. The cubic root of 48484800 is about 364.6435501806.

It can be divided in two parts, 48484 and 800, that added together give a square (49284 = 222²).

The spelling of 48484800 in words is "forty-eight million, four hundred eighty-four thousand, eight hundred".