214693440 has 112 divisors (see below), whose sum is σ = 734129088. Its totient is φ = 52844544.

The previous prime is 214693439. The next prime is 214693447. The reversal of 214693440 is 44396412.

214693440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214693447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3879 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (6554724).

Almost surely, 2^214693440 is an apocalyptic number.

214693440 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 214693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367064544).

214693440 is an abundant number, since it is smaller than the sum of its proper divisors (519435648).

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

214693440 is a wasteful number, since it uses less digits than its factorization.

214693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17236 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 214693440 is about 14652.4209603737. The cubic root of 214693440 is about 598.7877747214.

The spelling of 214693440 in words is "two hundred fourteen million, six hundred ninety-three thousand, four hundred forty".