483153600 has 336 divisors, whose sum is σ = 1741602816. Its totient is φ = 116736000.

The previous prime is 483153577. The next prime is 483153607. The reversal of 483153600 is 6351384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (483153607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529505 + ... + 2529695.

Almost surely, 2^483153600 is an apocalyptic number.

483153600 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 483153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870801408).

483153600 is an abundant number, since it is smaller than the sum of its proper divisors (1258449216).

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

483153600 is a wasteful number, since it uses less digits than its factorization.

483153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 483153600 is about 21980.7552190547. The cubic root of 483153600 is about 784.6844986881.

It can be divided in two parts, 48315 and 3600, that added together give a palindrome (51915).

The spelling of 483153600 in words is "four hundred eighty-three million, one hundred fifty-three thousand, six hundred".