484468992 has 576 divisors, whose sum is σ = 1883750400. Its totient is φ = 119439360.

The previous prime is 484468991. The next prime is 484469039. The reversal of 484468992 is 299864484.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484468991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15628017 + ... + 15628047.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^484468992 is an apocalyptic number.

484468992 is a gapful number since it is divisible by the number (42) 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 484468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

484468992 is an abundant number, since it is smaller than the sum of its proper divisors (1399281408).

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

484468992 is a wasteful number, since it uses less digits than its factorization.

484468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 484468992 is about 22010.6563282425. The cubic root of 484468992 is about 785.3959580318.

The spelling of 484468992 in words is "four hundred eighty-four million, four hundred sixty-eight thousand, nine hundred ninety-two".