414144080 has 60 divisors (see below), whose sum is σ = 1120101300. Its totient is φ = 141990912.

The previous prime is 414144077. The next prime is 414144091. The reversal of 414144080 is 80441414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266472976 + 147671104 = 16324^2 + 12152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48905 + ... + 56744.

It is an arithmetic number, because the mean of its divisors is an integer number (18668355).

Almost surely, 2^414144080 is an apocalyptic number.

414144080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414144080 is an abundant number, since it is smaller than the sum of its proper divisors (705957220).

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

414144080 is a wasteful number, since it uses less digits than its factorization.

414144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105676 (or 105663 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 414144080 is about 20350.5302142229. The cubic root of 414144080 is about 745.3904414078.

Adding to 414144080 its reverse (80441414), we get a palindrome (494585494).

The spelling of 414144080 in words is "four hundred fourteen million, one hundred forty-four thousand, eighty".