482561600 has 42 divisors (see below), whose sum is σ = 1187407074. Its totient is φ = 193024000.

The previous prime is 482561591. The next prime is 482561603. The reversal of 482561600 is 6165284.

It can be written as a sum of positive squares in 3 ways, for example, as 78712384 + 403849216 = 8872^2 + 20096^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (482561603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149201 + ... + 152400.

It is an arithmetic number, because the mean of its divisors is an integer number (28271597).

Almost surely, 2^482561600 is an apocalyptic number.

482561600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482561600 is an abundant number, since it is smaller than the sum of its proper divisors (704845474).

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

482561600 is a wasteful number, since it uses less digits than its factorization.

482561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301623 (or 301608 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 482561600 is about 21967.2847662154. The cubic root of 482561600 is about 784.3638807861.

The spelling of 482561600 in words is "four hundred eighty-two million, five hundred sixty-one thousand, six hundred".