214457856 has 160 divisors (see below), whose sum is σ = 622245888. Its totient is φ = 65372160.

The previous prime is 214457849. The next prime is 214457863. The reversal of 214457856 is 658754412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214457849) and next prime (214457863).

Its product of digits (268800) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122721 + ... + 1122911.

Almost surely, 2^214457856 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 214457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311122944).

214457856 is an abundant number, since it is smaller than the sum of its proper divisors (407788032).

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

214457856 is a wasteful number, since it uses less digits than its factorization.

214457856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 214457856 is about 14644.3796727618. The cubic root of 214457856 is about 598.5686771287.

The spelling of 214457856 in words is "two hundred fourteen million, four hundred fifty-seven thousand, eight hundred fifty-six".