48421800 has 360 divisors, whose sum is σ = 198840510. Its totient is φ = 10886400.

The previous prime is 48421799. The next prime is 48421811. The reversal of 48421800 is 812484.

48421800 is a `hidden beast` number, since 484 + 2 + 180 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21734244 + 26687556 = 4662^2 + 5166^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793770 + ... + 793830.

Almost surely, 2^48421800 is an apocalyptic number.

48421800 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 48421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420255).

48421800 is an abundant number, since it is smaller than the sum of its proper divisors (150418710).

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

48421800 is a wasteful number, since it uses less digits than its factorization.

48421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

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

The square root of 48421800 is about 6958.5774408280. The cubic root of 48421800 is about 364.4855453293.

The spelling of 48421800 in words is "forty-eight million, four hundred twenty-one thousand, eight hundred".