484860096 has 252 divisors, whose sum is σ = 1660047480. Its totient is φ = 134830080.

The previous prime is 484860083. The next prime is 484860109. The reversal of 484860096 is 690068484.

It is a happy number.

484860096 is a `hidden beast` number, since 484 + 86 + 0 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (484860083) and next prime (484860109).

It is a tau number, because it is divible by the number of its divisors (252).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156975 + ... + 1157393.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^484860096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830023740).

484860096 is an abundant number, since it is smaller than the sum of its proper divisors (1175187384).

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

484860096 is a wasteful number, since it uses less digits than its factorization.

484860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 484860096 is about 22019.5389597512. The cubic root of 484860096 is about 785.6072470133.

The spelling of 484860096 in words is "four hundred eighty-four million, eight hundred sixty thousand, ninety-six".