414412440 has 128 divisors (see below), whose sum is σ = 1346284800. Its totient is φ = 101445120.

The previous prime is 414412381. The next prime is 414412447. The reversal of 414412440 is 44214414.

It is a happy number.

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 414412440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414412447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328531 + ... + 329789.

It is an arithmetic number, because the mean of its divisors is an integer number (10517850).

Almost surely, 2^414412440 is an apocalyptic number.

414412440 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 414412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673142400).

414412440 is an abundant number, since it is smaller than the sum of its proper divisors (931872360).

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

414412440 is a wasteful number, since it uses less digits than its factorization.

414412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 414412440 is about 20357.1225864561. The cubic root of 414412440 is about 745.5514077621.

Adding to 414412440 its reverse (44214414), we get a palindrome (458626854).

The spelling of 414412440 in words is "four hundred fourteen million, four hundred twelve thousand, four hundred forty".