483504000 has 256 divisors, whose sum is σ = 1833062400. Its totient is φ = 110438400.

The previous prime is 483503983. The next prime is 483504017. The reversal of 483504000 is 405384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (483503983) and next prime (483504017).

It is a super-2 number, since 2×483504000² = 467552236032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335281 + ... + 336719.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^483504000 is an apocalyptic number.

483504000 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 483504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

483504000 is an abundant number, since it is smaller than the sum of its proper divisors (1349558400).

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

483504000 is a wasteful number, since it uses less digits than its factorization.

483504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 483504000 is about 21988.7243831924. The cubic root of 483504000 is about 784.8741464567.

Adding to 483504000 its reverse (405384), we get a palindrome (483909384).

The spelling of 483504000 in words is "four hundred eighty-three million, five hundred four thousand".