481630800 has 180 divisors, whose sum is σ = 1794932736. Its totient is φ = 110073600.

The previous prime is 481630783. The next prime is 481630837. The reversal of 481630800 is 8036184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54705 + ... + 62895.

Almost surely, 2^481630800 is an apocalyptic number.

481630800 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 481630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897466368).

481630800 is an abundant number, since it is smaller than the sum of its proper divisors (1313301936).

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

481630800 is a wasteful number, since it uses less digits than its factorization.

481630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 481630800 is about 21946.0884897514. The cubic root of 481630800 is about 783.8592434381.

Adding to 481630800 its reverse (8036184), we get a palindrome (489666984).

The spelling of 481630800 in words is "four hundred eighty-one million, six hundred thirty thousand, eight hundred".