414123144 has 64 divisors (see below), whose sum is σ = 1058503680. Its totient is φ = 134976000.

The previous prime is 414123133. The next prime is 414123169. The reversal of 414123144 is 441321414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 278884 + ... + 280364.

It is an arithmetic number, because the mean of its divisors is an integer number (16539120).

Almost surely, 2^414123144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

414123144 is an abundant number, since it is smaller than the sum of its proper divisors (644380536).

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

414123144 is a wasteful number, since it uses less digits than its factorization.

414123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1738 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 414123144 is about 20350.0158230897. The cubic root of 414123144 is about 745.3778807572.

Adding to 414123144 its reverse (441321414), we get a palindrome (855444558).

The spelling of 414123144 in words is "four hundred fourteen million, one hundred twenty-three thousand, one hundred forty-four".