412874880 has 256 divisors, whose sum is σ = 1456755840. Its totient is φ = 98631680.

The previous prime is 412874867. The next prime is 412874881. The reversal of 412874880 is 88478214.

It is not an unprimeable number, because it can be changed into a prime (412874881) 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 31 ways as a sum of consecutive naturals, for example, 2386474 + ... + 2386646.

Almost surely, 2^412874880 is an apocalyptic number.

412874880 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 412874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728377920).

412874880 is an abundant number, since it is smaller than the sum of its proper divisors (1043880960).

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

412874880 is a wasteful number, since it uses less digits than its factorization.

412874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 412874880 is about 20319.3228233620. The cubic root of 412874880 is about 744.6282126130.

The spelling of 412874880 in words is "four hundred twelve million, eight hundred seventy-four thousand, eight hundred eighty".