214032400 has 60 divisors (see below), whose sum is σ = 519036100. Its totient is φ = 84810240.

The previous prime is 214032389. The next prime is 214032419. The reversal of 214032400 is 4230412.

It can be written as a sum of positive squares in 6 ways, for example, as 19820304 + 194212096 = 4452^2 + 13936^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 41146 + ... + 46054.

Almost surely, 2^214032400 is an apocalyptic number.

214032400 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 214032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259518050).

214032400 is an abundant number, since it is smaller than the sum of its proper divisors (305003700).

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

214032400 is a wasteful number, since it uses less digits than its factorization.

214032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214032400 is about 14629.8462056168. The cubic root of 214032400 is about 598.1725880747.

Adding to 214032400 its reverse (4230412), we get a palindrome (218262812).

The spelling of 214032400 in words is "two hundred fourteen million, thirty-two thousand, four hundred".