412528000800 has 72 divisors (see below), whose sum is σ = 1342778650416. Its totient is φ = 110007466240.

The previous prime is 412528000793. The next prime is 412528000811. The reversal of 412528000800 is 8000825214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85940934 + ... + 85945733.

It is an arithmetic number, because the mean of its divisors is an integer number (18649703478).

Almost surely, 2^412528000800 is an apocalyptic number.

412528000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412528000800 is an abundant number, since it is smaller than the sum of its proper divisors (930250649616).

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

412528000800 is a wasteful number, since it uses less digits than its factorization.

412528000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171886690 (or 171886677 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 412528000800 in words is "four hundred twelve billion, five hundred twenty-eight million, eight hundred", and thus it is an aban number.