48084200 has 24 divisors (see below), whose sum is σ = 111796230. Its totient is φ = 19233600.

The previous prime is 48084199. The next prime is 48084203. The reversal of 48084200 is 248084.

It can be written as a sum of positive squares in 3 ways, for example, as 44542276 + 3541924 = 6674^2 + 1882^2 .

It is a super-3 number, since 3×48084200³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48084200.

It is not an unprimeable number, because it can be changed into a prime (48084203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120011 + ... + 120410.

Almost surely, 2^48084200 is an apocalyptic number.

48084200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48084200 is an abundant number, since it is smaller than the sum of its proper divisors (63712030).

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

48084200 is a wasteful number, since it uses less digits than its factorization.

48084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240437 (or 240428 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 48084200 is about 6934.2771793461. The cubic root of 48084200 is about 363.6364965909.

It can be divided in two parts, 48084 and 200, that added together give a palindrome (48284).

The spelling of 48084200 in words is "forty-eight million, eighty-four thousand, two hundred".