48821200 has 30 divisors (see below), whose sum is σ = 117293894. Its totient is φ = 19528320.

The previous prime is 48821177. The next prime is 48821207. The reversal of 48821200 is 212884.

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 48776256 = 212^2 + 6984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48821207) 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, 60627 + ... + 61426.

Almost surely, 2^48821200 is an apocalyptic number.

48821200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48821200 is an abundant number, since it is smaller than the sum of its proper divisors (68472694).

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

48821200 is a wasteful number, since it uses less digits than its factorization.

48821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122071 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 48821200 is about 6987.2168994529. The cubic root of 48821200 is about 365.4849374642.

The spelling of 48821200 in words is "forty-eight million, eight hundred twenty-one thousand, two hundred".