214408460 has 48 divisors (see below), whose sum is σ = 519172416. Its totient is φ = 72855552.

The previous prime is 214408459. The next prime is 214408477. The reversal of 214408460 is 64804412.

214408460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9044 + ... + 22596.

It is an arithmetic number, because the mean of its divisors is an integer number (10816092).

Almost surely, 2^214408460 is an apocalyptic number.

214408460 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 214408460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259586208).

214408460 is an abundant number, since it is smaller than the sum of its proper divisors (304763956).

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

214408460 is a wasteful number, since it uses less digits than its factorization.

214408460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13682 (or 13680 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 214408460 is about 14642.6930583141. The cubic root of 214408460 is about 598.5227175647.

The spelling of 214408460 in words is "two hundred fourteen million, four hundred eight thousand, four hundred sixty".