493987968 has 48 divisors (see below), whose sum is σ = 1421505150. Its totient is φ = 164662272.

The previous prime is 493987961. The next prime is 493987979. The reversal of 493987968 is 869789394.

493987968 is a `hidden beast` number, since 493 + 9 + 87 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 473845824 + 20142144 = 21768^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×493987968² = 488048225057538048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493987961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213253 + ... + 215556.

Almost surely, 2^493987968 is an apocalyptic number.

493987968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

493987968 is an abundant number, since it is smaller than the sum of its proper divisors (927517182).

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

493987968 is a wasteful number, since it uses less digits than its factorization.

493987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428829 (or 428814 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 493987968 is about 22225.8400966083. The cubic root of 493987968 is about 790.5065212914.

The spelling of 493987968 in words is "four hundred ninety-three million, nine hundred eighty-seven thousand, nine hundred sixty-eight".