214887456 has 72 divisors (see below), whose sum is σ = 698390784. Its totient is φ = 61395840.

The previous prime is 214887433. The next prime is 214887457. The reversal of 214887456 is 654788412.

214887456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (214887457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51280 + ... + 55311.

It is an arithmetic number, because the mean of its divisors is an integer number (9699872).

Almost surely, 2^214887456 is an apocalyptic number.

It is an amenable number.

214887456 is an abundant number, since it is smaller than the sum of its proper divisors (483503328).

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

214887456 is a wasteful number, since it uses less digits than its factorization.

214887456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106614 (or 106603 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 214887456 is about 14659.0400777131. The cubic root of 214887456 is about 598.9680929639.

The spelling of 214887456 in words is "two hundred fourteen million, eight hundred eighty-seven thousand, four hundred fifty-six".