48124800 has 192 divisors, whose sum is σ = 176439600. Its totient is φ = 12810240.

The previous prime is 48124799. The next prime is 48124837. The reversal of 48124800 is 842184.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86122 + ... + 86678.

Almost surely, 2^48124800 is an apocalyptic number.

48124800 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 48124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88219800).

48124800 is an abundant number, since it is smaller than the sum of its proper divisors (128314800).

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

48124800 is a wasteful number, since it uses less digits than its factorization.

48124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48124800 is about 6937.2040477414. The cubic root of 48124800 is about 363.7388135576.

Adding to 48124800 its reverse (842184), we get a palindrome (48966984).

It can be divided in two parts, 481 and 24800, that added together give a square (25281 = 159²).

The spelling of 48124800 in words is "forty-eight million, one hundred twenty-four thousand, eight hundred".