214530400 has 144 divisors (see below), whose sum is σ = 619647840. Its totient is φ = 70963200.

The previous prime is 214530391. The next prime is 214530427. The reversal of 214530400 is 4035412.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 161740 + ... + 163060.

It is an arithmetic number, because the mean of its divisors is an integer number (4303110).

Almost surely, 2^214530400 is an apocalyptic number.

214530400 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 214530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309823920).

214530400 is an abundant number, since it is smaller than the sum of its proper divisors (405117440).

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

214530400 is a wasteful number, since it uses less digits than its factorization.

214530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 214530400 is about 14646.8563179953. The cubic root of 214530400 is about 598.6361615158.

Adding to 214530400 its reverse (4035412), we get a palindrome (218565812).

The spelling of 214530400 in words is "two hundred fourteen million, five hundred thirty thousand, four hundred".