404479089000 has 576 divisors, whose sum is σ = 1622640764160. Its totient is φ = 92441865600.

The previous prime is 404479088987. The next prime is 404479089023. The reversal of 404479089000 is 980974404.

404479089000 is a `hidden beast` number, since 40 + 447 + 90 + 89 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45922597 + ... + 45931403.

It is an arithmetic number, because the mean of its divisors is an integer number (2817084660).

Almost surely, 2^404479089000 is an apocalyptic number.

404479089000 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 404479089000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811320382080).

404479089000 is an abundant number, since it is smaller than the sum of its proper divisors (1218161675160).

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

404479089000 is an frugal number, since it uses more digits than its factorization.

404479089000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 404479089000 in words is "four hundred four billion, four hundred seventy-nine million, eighty-nine thousand".