414005140 has 24 divisors (see below), whose sum is σ = 887910912. Its totient is φ = 162078240.

The previous prime is 414005077. The next prime is 414005147. The reversal of 414005140 is 41500414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414005147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219276 + ... + 221155.

It is an arithmetic number, because the mean of its divisors is an integer number (36996288).

Almost surely, 2^414005140 is an apocalyptic number.

It is an amenable number.

414005140 is an abundant number, since it is smaller than the sum of its proper divisors (473905772).

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

414005140 is a wasteful number, since it uses less digits than its factorization.

414005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440487 (or 440485 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 414005140 is about 20347.1162575929. The cubic root of 414005140 is about 745.3070757897.

Adding to 414005140 its reverse (41500414), we get a palindrome (455505554).

The spelling of 414005140 in words is "four hundred fourteen million, five thousand, one hundred forty".