481773600 has 648 divisors, whose sum is σ = 2161111680. Its totient is φ = 98841600.

The previous prime is 481773587. The next prime is 481773601. The reversal of 481773600 is 6377184.

481773600 is a `hidden beast` number, since 48 + 1 + 7 + 7 + 3 + 600 = 666.

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 (481773601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098361 + ... + 6098439.

Almost surely, 2^481773600 is an apocalyptic number.

481773600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080555840).

481773600 is an abundant number, since it is smaller than the sum of its proper divisors (1679338080).

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

481773600 is a wasteful number, since it uses less digits than its factorization.

481773600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 481773600 is about 21949.3416757770. The cubic root of 481773600 is about 783.9367052886.

The spelling of 481773600 in words is "four hundred eighty-one million, seven hundred seventy-three thousand, six hundred".