484942464 has 112 divisors (see below), whose sum is σ = 1448760570. Its totient is φ = 161616384.

The previous prime is 484942463. The next prime is 484942487. The reversal of 484942464 is 464249484.

484942464 is a `hidden beast` number, since 484 + 94 + 24 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421070400 + 63872064 = 20520^2 + 7992^2 .

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 (484942463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90714 + ... + 95910.

Almost surely, 2^484942464 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 484942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724380285).

484942464 is an abundant number, since it is smaller than the sum of its proper divisors (963818106).

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

484942464 is an frugal number, since it uses more digits than its factorization.

484942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5202 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 484942464 is about 22021.4092192121. The cubic root of 484942464 is about 785.6517307963.

The spelling of 484942464 in words is "four hundred eighty-four million, nine hundred forty-two thousand, four hundred sixty-four".