214279440 has 160 divisors (see below), whose sum is σ = 695955456. Its totient is φ = 54474240.

The previous prime is 214279427. The next prime is 214279447. The reversal of 214279440 is 44972412.

It is not an unprimeable number, because it can be changed into a prime (214279447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 617347 + ... + 617693.

Almost surely, 2^214279440 is an apocalyptic number.

214279440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347977728).

214279440 is an abundant number, since it is smaller than the sum of its proper divisors (481676016).

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

214279440 is a wasteful number, since it uses less digits than its factorization.

214279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 214279440 is about 14638.2867850032. The cubic root of 214279440 is about 598.4026400648.

The spelling of 214279440 in words is "two hundred fourteen million, two hundred seventy-nine thousand, four hundred forty".