214824000 has 112 divisors (see below), whose sum is σ = 709428096. Its totient is φ = 57280000.

The previous prime is 214823971. The next prime is 214824023. The reversal of 214824000 is 428412.

214824000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214824000² = 92298701952000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19525 + ... + 28475.

Almost surely, 2^214824000 is an apocalyptic number.

214824000 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 214824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354714048).

214824000 is an abundant number, since it is smaller than the sum of its proper divisors (494604096).

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

214824000 is an equidigital number, since it uses as much as digits as its factorization.

214824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 214824000 is about 14656.8755197006. The cubic root of 214824000 is about 598.9091289805.

The spelling of 214824000 in words is "two hundred fourteen million, eight hundred twenty-four thousand".