483906908160 has 1040 divisors, whose sum is σ = 1968108579360. Its totient is φ = 112750755840.

The previous prime is 483906908137. The next prime is 483906908167. The reversal of 483906908160 is 61809609384.

483906908160 is a `hidden beast` number, since 4 + 8 + 390 + 6 + 90 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-4 number, since 4×483906908160⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 483906908097 and 483906908106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483906908167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409742770 + ... + 409743950.

Almost surely, 2^483906908160 is an apocalyptic number.

483906908160 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 483906908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984054289680).

483906908160 is an abundant number, since it is smaller than the sum of its proper divisors (1484201671200).

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

483906908160 is a wasteful number, since it uses less digits than its factorization.

483906908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 483906908160 in words is "four hundred eighty-three billion, nine hundred six million, nine hundred eight thousand, one hundred sixty".