404008500 has 192 divisors, whose sum is σ = 1360719360. Its totient is φ = 91238400.

The previous prime is 404008487. The next prime is 404008529. The reversal of 404008500 is 5800404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144324 + ... + 1144676.

It is an arithmetic number, because the mean of its divisors is an integer number (7087080).

Almost surely, 2^404008500 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 404008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680359680).

404008500 is an abundant number, since it is smaller than the sum of its proper divisors (956710860).

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

404008500 is a wasteful number, since it uses less digits than its factorization.

404008500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 404008500 is about 20099.9626865325. The cubic root of 404008500 is about 739.2593636734.

Adding to 404008500 its reverse (5800404), we get a palindrome (409808904).

The spelling of 404008500 in words is "four hundred four million, eight thousand, five hundred".