481017600 has 324 divisors, whose sum is σ = 1967072016. Its totient is φ = 109854720.

The previous prime is 481017583. The next prime is 481017611. The reversal of 481017600 is 6710184.

It is a happy number.

481017600 is a `hidden beast` number, since 48 + 1 + 0 + 17 + 600 = 666.

It is a super-3 number, since 3×481017600³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402604 + ... + 403796.

Almost surely, 2^481017600 is an apocalyptic number.

481017600 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 481017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983536008).

481017600 is an abundant number, since it is smaller than the sum of its proper divisors (1486054416).

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

481017600 is a wasteful number, since it uses less digits than its factorization.

481017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 481017600 is about 21932.1134412532. The cubic root of 481017600 is about 783.5264389873.

Adding to 481017600 its reverse (6710184), we get a palindrome (487727784).

The spelling of 481017600 in words is "four hundred eighty-one million, seventeen thousand, six hundred".