214956440 has 32 divisors (see below), whose sum is σ = 495452160. Its totient is φ = 83884800.

The previous prime is 214956409. The next prime is 214956487. The reversal of 214956440 is 44659412.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214956440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63896 + ... + 67175.

It is an arithmetic number, because the mean of its divisors is an integer number (15482880).

Almost surely, 2^214956440 is an apocalyptic number.

214956440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214956440 is an abundant number, since it is smaller than the sum of its proper divisors (280495720).

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

214956440 is a wasteful number, since it uses less digits than its factorization.

214956440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 214956440 is about 14661.3928396998. The cubic root of 214956440 is about 599.0321804557.

The spelling of 214956440 in words is "two hundred fourteen million, nine hundred fifty-six thousand, four hundred forty".