514200240 has 120 divisors (see below), whose sum is σ = 1731907008. Its totient is φ = 136719360.

The previous prime is 514200227. The next prime is 514200307. The reversal of 514200240 is 42002415.

514200240 is a `hidden beast` number, since 5 + 1 + 420 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309492 + ... + 311148.

Almost surely, 2^514200240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865953504).

514200240 is an abundant number, since it is smaller than the sum of its proper divisors (1217706768).

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

514200240 is a wasteful number, since it uses less digits than its factorization.

514200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 514200240 is about 22675.9837713824. The cubic root of 514200240 is about 801.1443207155.

Adding to 514200240 its reverse (42002415), we get a palindrome (556202655).

The spelling of 514200240 in words is "five hundred fourteen million, two hundred thousand, two hundred forty".