48218400 has 216 divisors, whose sum is σ = 175590324. Its totient is φ = 12441600.

The previous prime is 48218369. The next prime is 48218413. The reversal of 48218400 is 481284.

48218400 is a `hidden beast` number, since 48 + 218 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12362256 + 35856144 = 3516^2 + 5988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266310 + ... + 266490.

Almost surely, 2^48218400 is an apocalyptic number.

48218400 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 48218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87795162).

48218400 is an abundant number, since it is smaller than the sum of its proper divisors (127371924).

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

48218400 is a wasteful number, since it uses less digits than its factorization.

48218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

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

The square root of 48218400 is about 6943.9470044061. The cubic root of 48218400 is about 363.9744779433.

Adding to 48218400 its reverse (481284), we get a palindrome (48699684).

The spelling of 48218400 in words is "forty-eight million, two hundred eighteen thousand, four hundred".