412440400 has 120 divisors (see below), whose sum is σ = 1059467904. Its totient is φ = 153753600.

The previous prime is 412440397. The next prime is 412440419. The reversal of 412440400 is 4044214.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 890569 + ... + 891031.

Almost surely, 2^412440400 is an apocalyptic number.

412440400 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 412440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529733952).

412440400 is an abundant number, since it is smaller than the sum of its proper divisors (647027504).

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

412440400 is a wasteful number, since it uses less digits than its factorization.

412440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 412440400 is about 20308.6287080147. The cubic root of 412440400 is about 744.3669231093.

Adding to 412440400 its reverse (4044214), we get a palindrome (416484614).

The spelling of 412440400 in words is "four hundred twelve million, four hundred forty thousand, four hundred".