404006000 has 80 divisors (see below), whose sum is σ = 989639040. Its totient is φ = 159494400.

The previous prime is 404005951. The next prime is 404006077. The reversal of 404006000 is 600404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156722 + ... + 159278.

It is an arithmetic number, because the mean of its divisors is an integer number (12370488).

Almost surely, 2^404006000 is an apocalyptic number.

404006000 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 404006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494819520).

404006000 is an abundant number, since it is smaller than the sum of its proper divisors (585633040).

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

404006000 is a wasteful number, since it uses less digits than its factorization.

404006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 404006000 is about 20099.9004972661. The cubic root of 404006000 is about 739.2578388274.

Adding to 404006000 its reverse (600404), we get a palindrome (404606404).

The spelling of 404006000 in words is "four hundred four million, six thousand".