4561305600 has 264 divisors, whose sum is σ = 15602807160. Its totient is φ = 1174405120.

The previous prime is 4561305589. The next prime is 4561305613. The reversal of 4561305600 is 65031654.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157286386 + ... + 157286414.

Almost surely, 2^4561305600 is an apocalyptic number.

4561305600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4561305600 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801403580).

4561305600 is an abundant number, since it is smaller than the sum of its proper divisors (11041501560).

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

4561305600 is an frugal number, since it uses more digits than its factorization.

4561305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 4561305600 is about 67537.4385063573. The cubic root of 4561305600 is about 1658.4271161214.

The spelling of 4561305600 in words is "four billion, five hundred sixty-one million, three hundred five thousand, six hundred".