483624960 has 384 divisors, whose sum is σ = 1915280640. Its totient is φ = 101449728.

The previous prime is 483624931. The next prime is 483624983. The reversal of 483624960 is 69426384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2795434 + ... + 2795606.

It is an arithmetic number, because the mean of its divisors is an integer number (4987710).

Almost surely, 2^483624960 is an apocalyptic number.

483624960 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 483624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957640320).

483624960 is an abundant number, since it is smaller than the sum of its proper divisors (1431655680).

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

483624960 is a wasteful number, since it uses less digits than its factorization.

483624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 483624960 is about 21991.4747118059. The cubic root of 483624960 is about 784.9395926308.

The spelling of 483624960 in words is "four hundred eighty-three million, six hundred twenty-four thousand, nine hundred sixty".