409284421800 has 96 divisors (see below), whose sum is σ = 1271646600480. Its totient is φ = 108896070400.

The previous prime is 409284421751. The next prime is 409284421969. The reversal of 409284421800 is 8124482904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504111 + ... + 1035710.

It is an arithmetic number, because the mean of its divisors is an integer number (13246318755).

Almost surely, 2^409284421800 is an apocalyptic number.

409284421800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409284421800 is an abundant number, since it is smaller than the sum of its proper divisors (862362178680).

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

409284421800 is a wasteful number, since it uses less digits than its factorization.

409284421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540283 (or 1540274 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 409284421800 in words is "four hundred nine billion, two hundred eighty-four million, four hundred twenty-one thousand, eight hundred".