484552768 has 168 divisors, whose sum is σ = 1211808600. Its totient is φ = 190955520.

The previous prime is 484552727. The next prime is 484552769. The reversal of 484552768 is 867255484.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 484352064 = 448^2 + 22008^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484552769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251958 + ... + 3252106.

Almost surely, 2^484552768 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 484552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605904300).

484552768 is an abundant number, since it is smaller than the sum of its proper divisors (727255832).

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

484552768 is a wasteful number, since it uses less digits than its factorization.

484552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 49.

The square root of 484552768 is about 22012.5593241676. The cubic root of 484552768 is about 785.4412265221.

The spelling of 484552768 in words is "four hundred eighty-four million, five hundred fifty-two thousand, seven hundred sixty-eight".