481771800 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 122601600.

The previous prime is 481771793. The next prime is 481771813. The reversal of 481771800 is 8177184.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1117585 + ... + 1118015.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^481771800 is an apocalyptic number.

481771800 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 481771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

481771800 is an abundant number, since it is smaller than the sum of its proper divisors (1273115880).

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

481771800 is a wasteful number, since it uses less digits than its factorization.

481771800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 481771800 is about 21949.3006722310. The cubic root of 481771800 is about 783.9357289740.

The spelling of 481771800 in words is "four hundred eighty-one million, seven hundred seventy-one thousand, eight hundred".