486029445120 has 480 divisors, whose sum is σ = 1844608966200. Its totient is φ = 121980321792.

The previous prime is 486029445091. The next prime is 486029445157. The reversal of 486029445120 is 21544920684.

It is a happy number.

486029445120 is a `hidden beast` number, since 4 + 8 + 60 + 29 + 445 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453004379136 + 33025065984 = 673056^2 + 181728^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14083246 + ... + 14117714.

Almost surely, 2^486029445120 is an apocalyptic number.

486029445120 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 486029445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922304483100).

486029445120 is an abundant number, since it is smaller than the sum of its proper divisors (1358579521080).

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

486029445120 is a wasteful number, since it uses less digits than its factorization.

486029445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34525 (or 34496 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 486029445120 in words is "four hundred eighty-six billion, twenty-nine million, four hundred forty-five thousand, one hundred twenty".