214520240 has 80 divisors (see below), whose sum is σ = 546527520. Its totient is φ = 77660160.

The previous prime is 214520239. The next prime is 214520269. The reversal of 214520240 is 42025412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 278576 + ... + 279344.

It is an arithmetic number, because the mean of its divisors is an integer number (6831594).

Almost surely, 2^214520240 is an apocalyptic number.

214520240 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 214520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273263760).

214520240 is an abundant number, since it is smaller than the sum of its proper divisors (332007280).

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

214520240 is a wasteful number, since it uses less digits than its factorization.

214520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 214520240 is about 14646.5094817844. The cubic root of 214520240 is about 598.6267110457.

Adding to 214520240 its reverse (42025412), we get a palindrome (256545652).

The spelling of 214520240 in words is "two hundred fourteen million, five hundred twenty thousand, two hundred forty".