4506573600 has 108 divisors (see below), whose sum is σ = 15891330546. Its totient is φ = 1201751040.

The previous prime is 4506573583. The next prime is 4506573607. The reversal of 4506573600 is 63756054.

4506573600 is a `hidden beast` number, since 45 + 0 + 6 + 5 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3940323984 + 566249616 = 62772^2 + 23796^2 .

It is a super-2 number, since 2×4506573600² = 40618411224433920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4506573607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 305757 + ... + 320156.

Almost surely, 2^4506573600 is an apocalyptic number.

4506573600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4506573600 is an abundant number, since it is smaller than the sum of its proper divisors (11384756946).

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

4506573600 is a wasteful number, since it uses less digits than its factorization.

4506573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625939 (or 625923 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4506573600 is about 67131.0181659715. The cubic root of 4506573600 is about 1651.7671425354.

The spelling of 4506573600 in words is "four billion, five hundred six million, five hundred seventy-three thousand, six hundred".