4403364480 has 384 divisors, whose sum is σ = 16252675920. Its totient is φ = 1094713344.

The previous prime is 4403364457. The next prime is 4403364481. The reversal of 4403364480 is 844633044.

4403364480 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 3 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1273633344 + 3129731136 = 35688^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4403364481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18898444 + ... + 18898676.

Almost surely, 2^4403364480 is an apocalyptic number.

4403364480 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 4403364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126337960).

4403364480 is an abundant number, since it is smaller than the sum of its proper divisors (11849311440).

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

4403364480 is a wasteful number, since it uses less digits than its factorization.

4403364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4403364480 is about 66357.8516831279. The cubic root of 4403364480 is about 1639.0600999458.

The spelling of 4403364480 in words is "four billion, four hundred three million, three hundred sixty-four thousand, four hundred eighty".