214400000 has 132 divisors (see below), whose sum is σ = 543699576. Its totient is φ = 84480000.

The previous prime is 214399981. The next prime is 214400023. The reversal of 214400000 is 4412.

It is a congruent number.

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, 3199967 + ... + 3200033.

Almost surely, 2^214400000 is an apocalyptic number.

214400000 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 214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271849788).

214400000 is an abundant number, since it is smaller than the sum of its proper divisors (329299576).

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

214400000 is an frugal number, since it uses more digits than its factorization.

214400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 214400000 is about 14642.4041741785. The cubic root of 214400000 is about 598.5148454114.

Adding to 214400000 its reverse (4412), we get a palindrome (214404412).

The spelling of 214400000 in words is "two hundred fourteen million, four hundred thousand".