412008480 has 216 divisors, whose sum is σ = 1523349828. Its totient is φ = 101357568.

The previous prime is 412008479. The next prime is 412008491. The reversal of 412008480 is 84800214.

It can be written as a sum of positive squares in 6 ways, for example, as 28005264 + 384003216 = 5292^2 + 19596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242514 + ... + 244206.

Almost surely, 2^412008480 is an apocalyptic number.

412008480 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 412008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761674914).

412008480 is an abundant number, since it is smaller than the sum of its proper divisors (1111341348).

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

412008480 is a wasteful number, since it uses less digits than its factorization.

412008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 412008480 is about 20297.9920189166. The cubic root of 412008480 is about 744.1069912037.

Adding to 412008480 its reverse (84800214), we get a palindrome (496808694).

The spelling of 412008480 in words is "four hundred twelve million, eight thousand, four hundred eighty".