48215200 has 72 divisors (see below), whose sum is σ = 128429280. Its totient is φ = 17529600.

The previous prime is 48215173. The next prime is 48215203. The reversal of 48215200 is 251284.

It is a super-2 number, since 2×48215200² = 4649411022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (48215203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6061 + ... + 11539.

It is an arithmetic number, because the mean of its divisors is an integer number (1783740).

Almost surely, 2^48215200 is an apocalyptic number.

48215200 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 48215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214640).

48215200 is an abundant number, since it is smaller than the sum of its proper divisors (80214080).

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

48215200 is a wasteful number, since it uses less digits than its factorization.

48215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 48215200 is about 6943.7165840780. The cubic root of 48215200 is about 363.9664260786.

Adding to 48215200 its reverse (251284), we get a palindrome (48466484).

The spelling of 48215200 in words is "forty-eight million, two hundred fifteen thousand, two hundred".