404797806000 has 480 divisors, whose sum is σ = 1635308333568. Its totient is φ = 91408089600.

The previous prime is 404797805953. The next prime is 404797806001. The reversal of 404797806000 is 608797404.

404797806000 is a `hidden beast` number, since 40 + 479 + 7 + 80 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×404797806000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (404797806001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10438647 + ... + 10477353.

Almost surely, 2^404797806000 is an apocalyptic number.

404797806000 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 404797806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817654166784).

404797806000 is an abundant number, since it is smaller than the sum of its proper divisors (1230510527568).

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

404797806000 is a wasteful number, since it uses less digits than its factorization.

404797806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38826 (or 38807 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 404797806000 in words is "four hundred four billion, seven hundred ninety-seven million, eight hundred six thousand".