4575600 has 180 divisors, whose sum is σ = 16790592. Its totient is φ = 1152000.

The previous prime is 4575589. The next prime is 4575619. The reversal of 4575600 is 65754.

4575600 is a `hidden beast` number, since 4 + 57 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4575600² = 41872230720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111580 + ... + 111620.

Almost surely, 2^4575600 is an apocalyptic number.

4575600 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 4575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8395296).

4575600 is an abundant number, since it is smaller than the sum of its proper divisors (12214992).

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

4575600 is a wasteful number, since it uses less digits than its factorization.

4575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4575600 is about 2139.0652163971. The cubic root of 4575600 is about 166.0157724405.

The spelling of 4575600 in words is "four million, five hundred seventy-five thousand, six hundred".