404454456 has 96 divisors (see below), whose sum is σ = 1269147360. Its totient is φ = 113965056.

The previous prime is 404454433. The next prime is 404454473. The reversal of 404454456 is 654454404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 404454456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31296 + ... + 42288.

It is an arithmetic number, because the mean of its divisors is an integer number (13220285).

Almost surely, 2^404454456 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 404454456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634573680).

404454456 is an abundant number, since it is smaller than the sum of its proper divisors (864692904).

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

404454456 is a wasteful number, since it uses less digits than its factorization.

404454456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 404454456 is about 20111.0530803337. The cubic root of 404454456 is about 739.5312687784.

The spelling of 404454456 in words is "four hundred four million, four hundred fifty-four thousand, four hundred fifty-six".