414105440 has 96 divisors (see below), whose sum is σ = 1154248704. Its totient is φ = 137387520.

The previous prime is 414105401. The next prime is 414105451. The reversal of 414105440 is 44501414.

It is a happy number.

It is a congruent number.

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, 28757 + ... + 40683.

It is an arithmetic number, because the mean of its divisors is an integer number (12023424).

Almost surely, 2^414105440 is an apocalyptic number.

414105440 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 414105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577124352).

414105440 is an abundant number, since it is smaller than the sum of its proper divisors (740143264).

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

414105440 is a wasteful number, since it uses less digits than its factorization.

414105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 414105440 is about 20349.5808310638. The cubic root of 414105440 is about 745.3672588297.

Adding to 414105440 its reverse (44501414), we get a palindrome (458606854).

The spelling of 414105440 in words is "four hundred fourteen million, one hundred five thousand, four hundred forty".