483229824000 has 1408 divisors, whose sum is σ = 2045359779840. Its totient is φ = 98353152000.

The previous prime is 483229823987. The next prime is 483229824017. The reversal of 483229824000 is 428922384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×483229824000² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1744511862 + ... + 1744512138.

Almost surely, 2^483229824000 is an apocalyptic number.

483229824000 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 483229824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022679889920).

483229824000 is an abundant number, since it is smaller than the sum of its proper divisors (1562129955840).

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

483229824000 is a wasteful number, since it uses less digits than its factorization.

483229824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 483229824000 in words is "four hundred eighty-three billion, two hundred twenty-nine million, eight hundred twenty-four thousand".