412543040 has 224 divisors, whose sum is σ = 1250801664. Its totient is φ = 126074880.

The previous prime is 412542997. The next prime is 412543049. The reversal of 412543040 is 40345214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 412542997 and 412543015.

It is not an unprimeable number, because it can be changed into a prime (412543049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902492 + ... + 902948.

It is an arithmetic number, because the mean of its divisors is an integer number (5583936).

Almost surely, 2^412543040 is an apocalyptic number.

412543040 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 412543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625400832).

412543040 is an abundant number, since it is smaller than the sum of its proper divisors (838258624).

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

412543040 is a wasteful number, since it uses less digits than its factorization.

412543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 412543040 is about 20311.1555555069. The cubic root of 412543040 is about 744.4286657547.

Adding to 412543040 its reverse (40345214), we get a palindrome (452888254).

The spelling of 412543040 in words is "four hundred twelve million, five hundred forty-three thousand, forty".