480193561600 has 297 divisors, whose sum is σ = 1227415689903. Its totient is φ = 186267648000.

The previous prime is 480193561537. The next prime is 480193561609. The reversal of 480193561600 is 6165391084.

The square root of 480193561600 is 692960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 221185852416 + 259007709184 = 470304^2 + 508928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480193561609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6763289565 + ... + 6763289635.

Almost surely, 2^480193561600 is an apocalyptic number.

480193561600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

480193561600 is the 692960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480193561600

480193561600 is an abundant number, since it is smaller than the sum of its proper divisors (747222128303).

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

480193561600 is an frugal number, since it uses more digits than its factorization.

480193561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 480193561600 in words is "four hundred eighty billion, one hundred ninety-three million, five hundred sixty-one thousand, six hundred".