414004240 has 80 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 150898176.

The previous prime is 414004231. The next prime is 414004289. The reversal of 414004240 is 42400414.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79641 + ... + 84679.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^414004240 is an apocalyptic number.

414004240 is a gapful number since it is divisible by the number (40) 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 414004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

414004240 is an abundant number, since it is smaller than the sum of its proper divisors (635928560).

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

414004240 is a wasteful number, since it uses less digits than its factorization.

414004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 414004240 is about 20347.0941414247. The cubic root of 414004240 is about 745.3065357184.

Adding to 414004240 its reverse (42400414), we get a palindrome (456404654).

The spelling of 414004240 in words is "four hundred fourteen million, four thousand, two hundred forty".