214109440 has 72 divisors (see below), whose sum is σ = 523918080. Its totient is φ = 83798016.

The previous prime is 214109383. The next prime is 214109447. The reversal of 214109440 is 44901412.

It is a super-2 number, since 2×214109440² = 91685704594227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214109447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58381 + ... + 61939.

It is an arithmetic number, because the mean of its divisors is an integer number (7276640).

Almost surely, 2^214109440 is an apocalyptic number.

214109440 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 214109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261959040).

214109440 is an abundant number, since it is smaller than the sum of its proper divisors (309808640).

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

214109440 is an equidigital number, since it uses as much as digits as its factorization.

214109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 214109440 is about 14632.4789424075. The cubic root of 214109440 is about 598.2443493098.

The spelling of 214109440 in words is "two hundred fourteen million, one hundred nine thousand, four hundred forty".