4569600 has 240 divisors, whose sum is σ = 18266688. Its totient is φ = 983040.

The previous prime is 4569589. The next prime is 4569613. The reversal of 4569600 is 69654.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 268792 + ... + 268808.

Almost surely, 2^4569600 is an apocalyptic number.

4569600 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 4569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133344).

4569600 is an abundant number, since it is smaller than the sum of its proper divisors (13697088).

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

4569600 is a wasteful number, since it uses less digits than its factorization.

4569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4569600 is about 2137.6622745420. The cubic root of 4569600 is about 165.9431750145.

The spelling of 4569600 in words is "four million, five hundred sixty-nine thousand, six hundred".