214400052 has 72 divisors (see below), whose sum is σ = 567291816. Its totient is φ = 68200704.

The previous prime is 214400023. The next prime is 214400059. The reversal of 214400052 is 250004412.

214400052 is a `hidden beast` number, since 214 + 400 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137030436 + 77369616 = 11706^2 + 8796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214399998 and 214400034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214400059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69078 + ... + 72114.

It is an arithmetic number, because the mean of its divisors is an integer number (7879053).

Almost surely, 2^214400052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214400052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283645908).

214400052 is an abundant number, since it is smaller than the sum of its proper divisors (352891764).

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

214400052 is a wasteful number, since it uses less digits than its factorization.

214400052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214400052 is about 14642.4059498431. The cubic root of 214400052 is about 598.5148937988.

Adding to 214400052 its reverse (250004412), we get a palindrome (464404464).

The spelling of 214400052 in words is "two hundred fourteen million, four hundred thousand, fifty-two".