214461640 has 64 divisors (see below), whose sum is σ = 501399360. Its totient is φ = 82494720.

The previous prime is 214461629. The next prime is 214461649. The reversal of 214461640 is 46164412.

It is a super-3 number, since 3×214461640³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214461599 and 214461608.

It is not an unprimeable number, because it can be changed into a prime (214461649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114310 + ... + 116170.

It is an arithmetic number, because the mean of its divisors is an integer number (7834365).

Almost surely, 2^214461640 is an apocalyptic number.

214461640 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 214461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250699680).

214461640 is an abundant number, since it is smaller than the sum of its proper divisors (286937720).

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

214461640 is a wasteful number, since it uses less digits than its factorization.

214461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 214461640 is about 14644.5088685145. The cubic root of 214461640 is about 598.5721975882.

The spelling of 214461640 in words is "two hundred fourteen million, four hundred sixty-one thousand, six hundred forty".