4576320 has 168 divisors, whose sum is σ = 18068544. Its totient is φ = 1041408.

The previous prime is 4576309. The next prime is 4576331. The reversal of 4576320 is 236754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4576309) and next prime (4576331).

It is a tau number, because it is divible by the number of its divisors (168).

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, 20047 + ... + 20273.

Almost surely, 2^4576320 is an apocalyptic number.

4576320 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 4576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

4576320 is an abundant number, since it is smaller than the sum of its proper divisors (13492224).

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

4576320 is a wasteful number, since it uses less digits than its factorization.

4576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4576320 is about 2139.2335075910. The cubic root of 4576320 is about 166.0244798659.

The spelling of 4576320 in words is "four million, five hundred seventy-six thousand, three hundred twenty".