493372944 has 75 divisors (see below), whose sum is σ = 1430282557. Its totient is φ = 164191104.

The previous prime is 493372937. The next prime is 493372949. The reversal of 493372944 is 449273394.

The square root of 493372944 is 22212.

It is a perfect power (a square), and thus also a powerful number.

493372944 is a `hidden beast` number, since 493 + 3 + 72 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 479084544 = 3780^2 + 21888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 493372944.

It is not an unprimeable number, because it can be changed into a prime (493372949) 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 14 ways as a sum of consecutive naturals, for example, 799324 + ... + 799940.

Almost surely, 2^493372944 is an apocalyptic number.

493372944 is the 22212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493372944

493372944 is an abundant number, since it is smaller than the sum of its proper divisors (936909613).

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

493372944 is an frugal number, since it uses more digits than its factorization.

493372944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 622 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The cubic root of 493372944 is about 790.1783200518.

It can be divided in two parts, 4933 and 72944, that added together give a palindrome (77877).

The spelling of 493372944 in words is "four hundred ninety-three million, three hundred seventy-two thousand, nine hundred forty-four".