414011424 has 48 divisors (see below), whose sum is σ = 1124262720. Its totient is φ = 133244160.

The previous prime is 414011419. The next prime is 414011443. The reversal of 414011424 is 424110414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 414011424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71572 + ... + 77139.

It is an arithmetic number, because the mean of its divisors is an integer number (23422140).

Almost surely, 2^414011424 is an apocalyptic number.

It is an amenable number.

414011424 is an abundant number, since it is smaller than the sum of its proper divisors (710251296).

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

414011424 is a wasteful number, since it uses less digits than its factorization.

414011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148753 (or 148745 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414011424 is about 20347.2706769237. The cubic root of 414011424 is about 745.3108466655.

Adding to 414011424 its reverse (424110414), we get a palindrome (838121838).

The spelling of 414011424 in words is "four hundred fourteen million, eleven thousand, four hundred twenty-four".