480524800 has 240 divisors, whose sum is σ = 1412623872. Its totient is φ = 158515200.

The previous prime is 480524789. The next prime is 480524813. The reversal of 480524800 is 8425084.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777514 + ... + 2777686.

Almost surely, 2^480524800 is an apocalyptic number.

480524800 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 480524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706311936).

480524800 is an abundant number, since it is smaller than the sum of its proper divisors (932099072).

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

480524800 is a wasteful number, since it uses less digits than its factorization.

480524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 480524800 is about 21920.8758949089. The cubic root of 480524800 is about 783.2587746551.

Adding to 480524800 its reverse (8425084), we get a palindrome (488949884).

The spelling of 480524800 in words is "four hundred eighty million, five hundred twenty-four thousand, eight hundred".