481580481600 has 189 divisors, whose sum is σ = 1711946769013. Its totient is φ = 128399255040.

The previous prime is 481580481553. The next prime is 481580481611. The reversal of 481580481600 is 6184085184.

The square root of 481580481600 is 693960.

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

481580481600 is a `hidden beast` number, since 4 + 8 + 1 + 580 + 4 + 8 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173368973376 + 308211508224 = 416376^2 + 555168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83272309 + ... + 83278091.

Almost surely, 2^481580481600 is an apocalyptic number.

481580481600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

481580481600 is the 693960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481580481600

481580481600 is an abundant number, since it is smaller than the sum of its proper divisors (1230366287413).

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

481580481600 is an frugal number, since it uses more digits than its factorization.

481580481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11594 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 481580481600 in words is "four hundred eighty-one billion, five hundred eighty million, four hundred eighty-one thousand, six hundred".