214410400 has 36 divisors (see below), whose sum is σ = 523431342. Its totient is φ = 85763840.

The previous prime is 214410389. The next prime is 214410403. The reversal of 214410400 is 4014412.

It can be written as a sum of positive squares in 3 ways, for example, as 173501584 + 40908816 = 13172^2 + 6396^2 .

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

It is not an unprimeable number, because it can be changed into a prime (214410403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133207 + ... + 134806.

Almost surely, 2^214410400 is an apocalyptic number.

214410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214410400 is an abundant number, since it is smaller than the sum of its proper divisors (309020942).

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

214410400 is a wasteful number, since it uses less digits than its factorization.

214410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268033 (or 268020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214410400 is about 14642.7593028090. The cubic root of 214410400 is about 598.5245227338.

Adding to 214410400 its reverse (4014412), we get a palindrome (218424812).

It can be divided in two parts, 2144 and 10400, that added together give a square (12544 = 112²).

The spelling of 214410400 in words is "two hundred fourteen million, four hundred ten thousand, four hundred".