414106440 has 64 divisors (see below), whose sum is σ = 1355261760. Its totient is φ = 100389120.

The previous prime is 414106439. The next prime is 414106447. The reversal of 414106440 is 44601414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414106440.

It is not an unprimeable number, because it can be changed into a prime (414106447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155539 + ... + 158178.

It is an arithmetic number, because the mean of its divisors is an integer number (21175965).

Almost surely, 2^414106440 is an apocalyptic number.

414106440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414106440 is an abundant number, since it is smaller than the sum of its proper divisors (941155320).

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

414106440 is a wasteful number, since it uses less digits than its factorization.

414106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313742 (or 313738 counting only the distinct ones).

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

The square root of 414106440 is about 20349.6054015797. The cubic root of 414106440 is about 745.3678588110.

Adding to 414106440 its reverse (44601414), we get a palindrome (458707854).

The spelling of 414106440 in words is "four hundred fourteen million, one hundred six thousand, four hundred forty".