484766964 has 96 divisors (see below), whose sum is σ = 1415393280. Its totient is φ = 142149600.

The previous prime is 484766963. The next prime is 484766999. The reversal of 484766964 is 469667484.

484766964 is a `hidden beast` number, since 484 + 76 + 6 + 96 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 484766964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484766963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30247 + ... + 43409.

It is an arithmetic number, because the mean of its divisors is an integer number (14743680).

Almost surely, 2^484766964 is an apocalyptic number.

484766964 is a gapful number since it is divisible by the number (44) 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 484766964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707696640).

484766964 is an abundant number, since it is smaller than the sum of its proper divisors (930626316).

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

484766964 is a wasteful number, since it uses less digits than its factorization.

484766964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13210 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 484766964 is about 22017.4241000168. The cubic root of 484766964 is about 785.5569439398.

The spelling of 484766964 in words is "four hundred eighty-four million, seven hundred sixty-six thousand, nine hundred sixty-four".