214545440 has 48 divisors (see below), whose sum is σ = 536685912. Its totient is φ = 80769024.

The previous prime is 214545437. The next prime is 214545469. The reversal of 214545440 is 44545412.

It can be written as a sum of positive squares in 4 ways, for example, as 183765136 + 30780304 = 13556^2 + 5548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36719 + ... + 42158.

Almost surely, 2^214545440 is an apocalyptic number.

214545440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214545440 is an abundant number, since it is smaller than the sum of its proper divisors (322140472).

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

214545440 is a wasteful number, since it uses less digits than its factorization.

214545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78909 (or 78901 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 214545440 is about 14647.3697297501. The cubic root of 214545440 is about 598.6501506404.

The spelling of 214545440 in words is "two hundred fourteen million, five hundred forty-five thousand, four hundred forty".