480511800 has 288 divisors, whose sum is σ = 1754887680. Its totient is φ = 117350400.

The previous prime is 480511793. The next prime is 480511813. The reversal of 480511800 is 8115084.

480511800 = 46³ + 47³ + ... + 209³.

480511800 is a `hidden beast` number, since 480 + 5 + 1 + 180 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1254409 + ... + 1254791.

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

Almost surely, 2^480511800 is an apocalyptic number.

480511800 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 480511800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

480511800 is an abundant number, since it is smaller than the sum of its proper divisors (1274375880).

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

480511800 is a wasteful number, since it uses less digits than its factorization.

480511800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 480511800 is about 21920.5793719053. The cubic root of 480511800 is about 783.2517112278.

Adding to 480511800 its reverse (8115084), we get a palindrome (488626884).

The spelling of 480511800 in words is "four hundred eighty million, five hundred eleven thousand, eight hundred".