404006600 has 48 divisors (see below), whose sum is σ = 949911300. Its totient is φ = 159779840.

The previous prime is 404006597. The next prime is 404006639. The reversal of 404006600 is 6600404.

It can be written as a sum of positive squares in 6 ways, for example, as 4726276 + 399280324 = 2174^2 + 19982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6452 + ... + 29148.

Almost surely, 2^404006600 is an apocalyptic number.

404006600 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 404006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474955650).

404006600 is an abundant number, since it is smaller than the sum of its proper divisors (545904700).

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

404006600 is a wasteful number, since it uses less digits than its factorization.

404006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22802 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 404006600 is about 20099.9154227076. The cubic root of 404006600 is about 739.2582047910.

The spelling of 404006600 in words is "four hundred four million, six thousand, six hundred".