482304000 has 224 divisors, whose sum is σ = 1615232736. Its totient is φ = 127795200.

The previous prime is 482303981. The next prime is 482304013. The reversal of 482304000 is 403284.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071922 + ... + 3072078.

Almost surely, 2^482304000 is an apocalyptic number.

482304000 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 482304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807616368).

482304000 is an abundant number, since it is smaller than the sum of its proper divisors (1132928736).

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

482304000 is an equidigital number, since it uses as much as digits as its factorization.

482304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 482304000 is about 21961.4207190701. The cubic root of 482304000 is about 784.2242867948.

Adding to 482304000 its reverse (403284), we get a palindrome (482707284).

It can be divided in two parts, 48 and 2304000, that multiplied together give a cube (110592000 = 480³).

The spelling of 482304000 in words is "four hundred eighty-two million, three hundred four thousand".