4464576 has 84 divisors (see below), whose sum is σ = 13392912. Its totient is φ = 1419264.

The previous prime is 4464571. The next prime is 4464587. The reversal of 4464576 is 6754644.

4464576 is a `hidden beast` number, since 4 + 4 + 645 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 4 + 4⁹ + 6³ + 4¹¹ + 5³ + 7 + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 4464576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13080 + ... + 13416.

Almost surely, 2^4464576 is an apocalyptic number.

4464576 is a gapful number since it is divisible by the number (46) 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 4464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696456).

4464576 is an abundant number, since it is smaller than the sum of its proper divisors (8928336).

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

4464576 is a wasteful number, since it uses less digits than its factorization.

4464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4464576 is about 2112.9543298425. The cubic root of 4464576 is about 164.6620078415.

It can be divided in two parts, 44 and 64576, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 4464576 in words is "four million, four hundred sixty-four thousand, five hundred seventy-six".