483020461440 has 1536 divisors, whose sum is σ = 2025392947200. Its totient is φ = 108318228480.

The previous prime is 483020461439. The next prime is 483020461459. The reversal of 483020461440 is 44164020384.

483020461440 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 204 + 6 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 483020461395 and 483020461404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3803310657 + ... + 3803310783.

It is an arithmetic number, because the mean of its divisors is an integer number (1318615200).

Almost surely, 2^483020461440 is an apocalyptic number.

483020461440 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 483020461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012696473600).

483020461440 is an abundant number, since it is smaller than the sum of its proper divisors (1542372485760).

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

483020461440 is a wasteful number, since it uses less digits than its factorization.

483020461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 483020461440 in words is "four hundred eighty-three billion, twenty million, four hundred sixty-one thousand, four hundred forty".