4560800 has 36 divisors (see below), whose sum is σ = 11136006. Its totient is φ = 1824000.

The previous prime is 4560797. The next prime is 4560841. The reversal of 4560800 is 80654.

4560800 = T₂₅₉ + T₂₆₀ + ... + T₃₅₄.

It can be written as a sum of positive squares in 3 ways, for example, as 4048144 + 512656 = 2012^2 + 716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2051 + ... + 3650.

Almost surely, 2^4560800 is an apocalyptic number.

4560800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4560800 is an abundant number, since it is smaller than the sum of its proper divisors (6575206).

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

4560800 is a wasteful number, since it uses less digits than its factorization.

4560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4560800 is about 2135.6029593536. The cubic root of 4560800 is about 165.8365837487.

The spelling of 4560800 in words is "four million, five hundred sixty thousand, eight hundred".