404573664 has 144 divisors (see below), whose sum is σ = 1208586960. Its totient is φ = 118272000.

The previous prime is 404573647. The next prime is 404573677. The reversal of 404573664 is 466375404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336264 + ... + 337464.

It is an arithmetic number, because the mean of its divisors is an integer number (8392965).

Almost surely, 2^404573664 is an apocalyptic number.

404573664 is a gapful number since it is divisible by the number (44) 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 404573664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604293480).

404573664 is an abundant number, since it is smaller than the sum of its proper divisors (804013296).

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

404573664 is a wasteful number, since it uses less digits than its factorization.

404573664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 404573664 is about 20114.0166053427. The cubic root of 404573664 is about 739.6039175710.

The spelling of 404573664 in words is "four hundred four million, five hundred seventy-three thousand, six hundred sixty-four".