483088320 has 896 divisors, whose sum is σ = 2212116480. Its totient is φ = 97320960.

The previous prime is 483088289. The next prime is 483088321. The reversal of 483088320 is 23880384.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483088321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003829 + ... + 21003851.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^483088320 is an apocalyptic number.

483088320 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 483088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

483088320 is an abundant number, since it is smaller than the sum of its proper divisors (1729028160).

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

483088320 is a wasteful number, since it uses less digits than its factorization.

483088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 483088320 is about 21979.2702335633. The cubic root of 483088320 is about 784.6491569174.

The spelling of 483088320 in words is "four hundred eighty-three million, eighty-eight thousand, three hundred twenty".