412442440 has 64 divisors (see below), whose sum is σ = 1025343360. Its totient is φ = 148515840.

The previous prime is 412442431. The next prime is 412442453. The reversal of 412442440 is 44244214.

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, 2455 + ... + 28825.

It is an arithmetic number, because the mean of its divisors is an integer number (16020990).

Almost surely, 2^412442440 is an apocalyptic number.

412442440 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 412442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512671680).

412442440 is an abundant number, since it is smaller than the sum of its proper divisors (612900920).

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

412442440 is a wasteful number, since it uses less digits than its factorization.

412442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26422 (or 26418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 412442440 is about 20308.6789329094. The cubic root of 412442440 is about 744.3681503622.

Adding to 412442440 its reverse (44244214), we get a palindrome (456686654).

It can be divided in two parts, 4124 and 42440, that added together give a palindrome (46564).

The spelling of 412442440 in words is "four hundred twelve million, four hundred forty-two thousand, four hundred forty".