484306368 has 224 divisors, whose sum is σ = 1609929216. Its totient is φ = 125079552.

The previous prime is 484306337. The next prime is 484306369. The reversal of 484306368 is 863603484.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484306369) 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, 925755 + ... + 926277.

It is an arithmetic number, because the mean of its divisors is an integer number (7187184).

Almost surely, 2^484306368 is an apocalyptic number.

484306368 is a gapful number since it is divisible by the number (48) 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 484306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804964608).

484306368 is an abundant number, since it is smaller than the sum of its proper divisors (1125622848).

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

484306368 is a wasteful number, since it uses less digits than its factorization.

484306368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 484306368 is about 22006.9618075735. The cubic root of 484306368 is about 785.3080690040.

The spelling of 484306368 in words is "four hundred eighty-four million, three hundred six thousand, three hundred sixty-eight".