414003144 has 64 divisors (see below), whose sum is σ = 1050192000. Its totient is φ = 135991296.

The previous prime is 414003137. The next prime is 414003167. The reversal of 414003144 is 441300414.

It is a self number, because there is not a number n which added to its sum of digits gives 414003144.

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, 921832 + ... + 922280.

It is an arithmetic number, because the mean of its divisors is an integer number (16409250).

Almost surely, 2^414003144 is an apocalyptic number.

It is an amenable number.

414003144 is an abundant number, since it is smaller than the sum of its proper divisors (636188856).

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

414003144 is a wasteful number, since it uses less digits than its factorization.

414003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414003144 is about 20347.0672088141. The cubic root of 414003144 is about 745.3058780306.

Adding to 414003144 its reverse (441300414), we get a palindrome (855303558).

It can be divided in two parts, 41400 and 3144, that added together give a palindrome (44544).

The spelling of 414003144 in words is "four hundred fourteen million, three thousand, one hundred forty-four".