412244040 has 128 divisors (see below), whose sum is σ = 1337212800. Its totient is φ = 101068800.

The previous prime is 412243991. The next prime is 412244057. The reversal of 412244040 is 40442214.

412244040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 412243998 and 412244016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625231 + ... + 625889.

It is an arithmetic number, because the mean of its divisors is an integer number (10446975).

Almost surely, 2^412244040 is an apocalyptic number.

412244040 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 412244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668606400).

412244040 is an abundant number, since it is smaller than the sum of its proper divisors (924968760).

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

412244040 is a wasteful number, since it uses less digits than its factorization.

412244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 412244040 is about 20303.7937341769. The cubic root of 412244040 is about 744.2487750561.

Adding to 412244040 its reverse (40442214), we get a palindrome (452686254).

The spelling of 412244040 in words is "four hundred twelve million, two hundred forty-four thousand, forty".