412871040 has 128 divisors (see below), whose sum is σ = 1462312800. Its totient is φ = 110094336.

The previous prime is 412871029. The next prime is 412871047. The reversal of 412871040 is 40178214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412870995 and 412871013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412871047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5334 + ... + 29226.

Almost surely, 2^412871040 is an apocalyptic number.

412871040 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 412871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731156400).

412871040 is an abundant number, since it is smaller than the sum of its proper divisors (1049441760).

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

412871040 is a wasteful number, since it uses less digits than its factorization.

412871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23921 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 412871040 is about 20319.2283318043. The cubic root of 412871040 is about 744.6259040999.

The spelling of 412871040 in words is "four hundred twelve million, eight hundred seventy-one thousand, forty".