4404456 has 80 divisors (see below), whose sum is σ = 14113440. Its totient is φ = 1257120.

The previous prime is 4404451. The next prime is 4404457. The reversal of 4404456 is 6544044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4404451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4051 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (176418).

Almost surely, 2^4404456 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 4404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056720).

4404456 is an abundant number, since it is smaller than the sum of its proper divisors (9708984).

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

4404456 is a wasteful number, since it uses less digits than its factorization.

4404456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4404456 is about 2098.6795848819. The cubic root of 4404456 is about 163.9195520568.

It can be divided in two parts, 44044 and 56, that added together give a square (44100 = 210²).

The spelling of 4404456 in words is "four million, four hundred four thousand, four hundred fifty-six".