414341440 has 28 divisors (see below), whose sum is σ = 986651316. Its totient is φ = 165736448.

The previous prime is 414341423. The next prime is 414341441. The reversal of 414341440 is 44143414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 166719744 + 247621696 = 12912^2 + 15736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414341441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 647089 + ... + 647728.

It is an arithmetic number, because the mean of its divisors is an integer number (35237547).

Almost surely, 2^414341440 is an apocalyptic number.

414341440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414341440 is an abundant number, since it is smaller than the sum of its proper divisors (572309876).

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

414341440 is a wasteful number, since it uses less digits than its factorization.

414341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294834 (or 1294824 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 414341440 is about 20355.3786503715. The cubic root of 414341440 is about 745.5088276590.

Adding to 414341440 its reverse (44143414), we get a palindrome (458484854).

The spelling of 414341440 in words is "four hundred fourteen million, three hundred forty-one thousand, four hundred forty".