214466040 has 96 divisors (see below), whose sum is σ = 705931200. Its totient is φ = 56459520.

The previous prime is 214466027. The next prime is 214466047. The reversal of 214466040 is 40664412.

214466040 is a `hidden beast` number, since 2 + 14 + 46 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214465995 and 214466013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214466047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24670 + ... + 32210.

It is an arithmetic number, because the mean of its divisors is an integer number (7353450).

Almost surely, 2^214466040 is an apocalyptic number.

214466040 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 214466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352965600).

214466040 is an abundant number, since it is smaller than the sum of its proper divisors (491465160).

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

214466040 is a wasteful number, since it uses less digits than its factorization.

214466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214466040 is about 14644.6590947007. The cubic root of 214466040 is about 598.5762910936.

The spelling of 214466040 in words is "two hundred fourteen million, four hundred sixty-six thousand, forty".