48381200 has 120 divisors (see below), whose sum is σ = 136723392. Its totient is φ = 16104960.

The previous prime is 48381197. The next prime is 48381211. The reversal of 48381200 is 218384.

48381200 = T₃₄₁ + T₃₄₂ + ... + T₆₉₀.

48381200 = 65³ + 66³ + ... + 120³.

It is a self number, because there is not a number n which added to its sum of digits gives 48381200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103367 + ... + 103833.

Almost surely, 2^48381200 is an apocalyptic number.

48381200 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 48381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68361696).

48381200 is an abundant number, since it is smaller than the sum of its proper divisors (88342192).

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

48381200 is a wasteful number, since it uses less digits than its factorization.

48381200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 48381200 is about 6955.6595661375. The cubic root of 48381200 is about 364.3836473483.

Adding to 48381200 its reverse (218384), we get a palindrome (48599584).

The spelling of 48381200 in words is "forty-eight million, three hundred eighty-one thousand, two hundred".