4215200 has 72 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1529600.

The previous prime is 4215193. The next prime is 4215217. The reversal of 4215200 is 25124.

It is a super-2 number, since 2×4215200² = 35535822080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8561 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^4215200 is an apocalyptic number.

4215200 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 4215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4215200 is an abundant number, since it is smaller than the sum of its proper divisors (7034080).

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

4215200 is a wasteful number, since it uses less digits than its factorization.

4215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4215200 is about 2053.0952242894. The cubic root of 4215200 is about 161.5372661113.

The spelling of 4215200 in words is "four million, two hundred fifteen thousand, two hundred".