493982496 has 96 divisors (see below), whose sum is σ = 1646628480. Its totient is φ = 141136128.

The previous prime is 493982483. The next prime is 493982507. The reversal of 493982496 is 694289394.

493982496 is a `hidden beast` number, since 4 + 9 + 398 + 249 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34791 + ... + 46886.

It is an arithmetic number, because the mean of its divisors is an integer number (17152380).

Almost surely, 2^493982496 is an apocalyptic number.

It is an amenable number.

493982496 is an abundant number, since it is smaller than the sum of its proper divisors (1152645984).

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

493982496 is a wasteful number, since it uses less digits than its factorization.

493982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81703 (or 81689 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 493982496 is about 22225.7169963086. The cubic root of 493982496 is about 790.5036024162.

The spelling of 493982496 in words is "four hundred ninety-three million, nine hundred eighty-two thousand, four hundred ninety-six".