4457664 has 84 divisors (see below), whose sum is σ = 13075920. Its totient is φ = 1451520.

The previous prime is 4457657. The next prime is 4457683. The reversal of 4457664 is 4667544.

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 4³ + 4⁴ + 5⁹ + 7⁷ + 6² + 6⁸ + 4⁵ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40842 + ... + 40950.

Almost surely, 2^4457664 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 4457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537960).

4457664 is an abundant number, since it is smaller than the sum of its proper divisors (8618256).

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

4457664 is a wasteful number, since it uses less digits than its factorization.

4457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

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

The square root of 4457664 is about 2111.3180717268. The cubic root of 4457664 is about 164.5769880728.

The spelling of 4457664 in words is "four million, four hundred fifty-seven thousand, six hundred sixty-four".