493094304 has 120 divisors (see below), whose sum is σ = 1457487108. Its totient is φ = 163537920.

The previous prime is 493094297. The next prime is 493094311. The reversal of 493094304 is 403490394.

493094304 is a `hidden beast` number, since 49 + 309 + 4 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (493094297) and next prime (493094311).

It can be written as a sum of positive squares in 2 ways, for example, as 402082704 + 91011600 = 20052^2 + 9540^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 728014 + ... + 728690.

Almost surely, 2^493094304 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 493094304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728743554).

493094304 is an abundant number, since it is smaller than the sum of its proper divisors (964392804).

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

493094304 is a wasteful number, since it uses less digits than its factorization.

493094304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493094304 is about 22205.7268289061. The cubic root of 493094304 is about 790.0295368970.

The spelling of 493094304 in words is "four hundred ninety-three million, ninety-four thousand, three hundred four".