214329440 has 48 divisors (see below), whose sum is σ = 545308848. Its totient is φ = 79136256.

The previous prime is 214329413. The next prime is 214329457. The reversal of 214329440 is 44923412.

It is a congruent number.

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, 49442 + ... + 53601.

It is an arithmetic number, because the mean of its divisors is an integer number (11360601).

Almost surely, 2^214329440 is an apocalyptic number.

214329440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214329440 is an abundant number, since it is smaller than the sum of its proper divisors (330979408).

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

214329440 is a wasteful number, since it uses less digits than its factorization.

214329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103071 (or 103063 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 214329440 is about 14639.9945355181. The cubic root of 214329440 is about 598.4491802355.

The spelling of 214329440 in words is "two hundred fourteen million, three hundred twenty-nine thousand, four hundred forty".