404468675520 has 896 divisors, whose sum is σ = 1625905612800. Its totient is φ = 82924535808.

The previous prime is 404468675491. The next prime is 404468675521. The reversal of 404468675520 is 25576864404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404468675521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 499960876 + ... + 499961684.

It is an arithmetic number, because the mean of its divisors is an integer number (1814626800).

Almost surely, 2^404468675520 is an apocalyptic number.

404468675520 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 404468675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812952806400).

404468675520 is an abundant number, since it is smaller than the sum of its proper divisors (1221436937280).

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

404468675520 is a wasteful number, since it uses less digits than its factorization.

404468675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 404468675520 in words is "four hundred four billion, four hundred sixty-eight million, six hundred seventy-five thousand, five hundred twenty".