483759360 has 324 divisors, whose sum is σ = 1949295348. Its totient is φ = 110444544.

The previous prime is 483759313. The next prime is 483759377. The reversal of 483759360 is 63957384.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 154554624 = 18144^2 + 12432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564052 + ... + 564908.

Almost surely, 2^483759360 is an apocalyptic number.

483759360 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 483759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974647674).

483759360 is an abundant number, since it is smaller than the sum of its proper divisors (1465535988).

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

483759360 is a wasteful number, since it uses less digits than its factorization.

483759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 483759360 is about 21994.5302291274. The cubic root of 483759360 is about 785.0122978046.

The spelling of 483759360 in words is "four hundred eighty-three million, seven hundred fifty-nine thousand, three hundred sixty".