494384765625 has 75 divisors (see below), whose sum is σ = 923156738251. Its totient is φ = 263671875000.

The previous prime is 494384765603. The next prime is 494384765627. The reversal of 494384765625 is 526567483494.

The square root of 494384765625 is 703125.

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

494384765625 is a `hidden beast` number, since 4 + 94 + 3 + 8 + 476 + 56 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 473326112169 + 21058653456 = 687987^2 + 145116^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 494384765625 - 2¹⁵ = 494384732857 is a prime.

It is a Duffinian number.

Its product of digits (174182400) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (494384765627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 98876953123 + ... + 98876953127.

Almost surely, 2^494384765625 is an apocalyptic number.

494384765625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

494384765625 is the 703125-th square number.

494384765625 is the 351563-rd centered octagonal number.

It is an amenable number.

494384765625 is a deficient number, since it is larger than the sum of its proper divisors (428771972626).

494384765625 is an frugal number, since it uses more digits than its factorization.

494384765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 8 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 494384765625 in words is "four hundred ninety-four billion, three hundred eighty-four million, seven hundred sixty-five thousand, six hundred twenty-five".