480235800 has 96 divisors (see below), whose sum is σ = 1624092480. Its totient is φ = 116419200.

The previous prime is 480235793. The next prime is 480235823. The reversal of 480235800 is 8532084.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29782 + ... + 42981.

It is an arithmetic number, because the mean of its divisors is an integer number (16917630).

Almost surely, 2^480235800 is an apocalyptic number.

480235800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480235800 is an abundant number, since it is smaller than the sum of its proper divisors (1143856680).

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

480235800 is a wasteful number, since it uses less digits than its factorization.

480235800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72793 (or 72784 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 480235800 is about 21914.2830135964. The cubic root of 480235800 is about 783.1017191600.

Adding to 480235800 its reverse (8532084), we get a palindrome (488767884).

The spelling of 480235800 in words is "four hundred eighty million, two hundred thirty-five thousand, eight hundred".