484992144 has 320 divisors, whose sum is σ = 1747110400. Its totient is φ = 126157824.

The previous prime is 484992113. The next prime is 484992161. The reversal of 484992144 is 441299484.

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

It is a self number, because there is not a number n which added to its sum of digits gives 484992144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6643692 + ... + 6643764.

It is an arithmetic number, because the mean of its divisors is an integer number (5459720).

Almost surely, 2^484992144 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 484992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873555200).

484992144 is an abundant number, since it is smaller than the sum of its proper divisors (1262118256).

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

484992144 is a wasteful number, since it uses less digits than its factorization.

484992144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

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

The square root of 484992144 is about 22022.5371835309. The cubic root of 484992144 is about 785.6785586148.

The spelling of 484992144 in words is "four hundred eighty-four million, nine hundred ninety-two thousand, one hundred forty-four".