215248800 has 144 divisors (see below), whose sum is σ = 754639200. Its totient is φ = 52976640.

The previous prime is 215248799. The next prime is 215248921. The reversal of 215248800 is 8842512.

215248800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27751 + ... + 34649.

It is an arithmetic number, because the mean of its divisors is an integer number (5240550).

Almost surely, 2^215248800 is an apocalyptic number.

215248800 is a gapful number since it is divisible by the number (20) 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 215248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377319600).

215248800 is an abundant number, since it is smaller than the sum of its proper divisors (539390400).

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

215248800 is a wasteful number, since it uses less digits than its factorization.

215248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 215248800 is about 14671.3598551736. The cubic root of 215248800 is about 599.3036365537.

The spelling of 215248800 in words is "two hundred fifteen million, two hundred forty-eight thousand, eight hundred".