412828780 has 96 divisors (see below), whose sum is σ = 1077310080. Its totient is φ = 129392640.

The previous prime is 412828753. The next prime is 412828807. The reversal of 412828780 is 87828214.

It is an interprime number because it is at equal distance from previous prime (412828753) and next prime (412828807).

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 31 ways as a sum of consecutive naturals, for example, 197340 + ... + 199420.

It is an arithmetic number, because the mean of its divisors is an integer number (11221980).

Almost surely, 2^412828780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538655040).

412828780 is an abundant number, since it is smaller than the sum of its proper divisors (664481300).

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

412828780 is a wasteful number, since it uses less digits than its factorization.

412828780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 412828780 is about 20318.1884034970. The cubic root of 412828780 is about 744.6004974867.

The spelling of 412828780 in words is "four hundred twelve million, eight hundred twenty-eight thousand, seven hundred eighty".