414006140 has 12 divisors (see below), whose sum is σ = 869412936. Its totient is φ = 165602448.

The previous prime is 414006137. The next prime is 414006149. The reversal of 414006140 is 41600414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20700307 = 414006140 / (4 + 1 + 4 + 0 + 0 + 6 + 1 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414006149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10350134 + ... + 10350173.

It is an arithmetic number, because the mean of its divisors is an integer number (72451078).

Almost surely, 2^414006140 is an apocalyptic number.

It is an amenable number.

414006140 is an abundant number, since it is smaller than the sum of its proper divisors (455406796).

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

414006140 is a wasteful number, since it uses less digits than its factorization.

414006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20700316 (or 20700314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 414006140 is about 20347.1408310848. The cubic root of 414006140 is about 745.3076758680.

Adding to 414006140 its reverse (41600414), we get a palindrome (455606554).

The spelling of 414006140 in words is "four hundred fourteen million, six thousand, one hundred forty".