493372960 has 24 divisors (see below), whose sum is σ = 1165593996. Its totient is φ = 197349120.

The previous prime is 493372949. The next prime is 493372961. The reversal of 493372960 is 69273394.

It can be written as a sum of positive squares in 2 ways, for example, as 493372944 + 16 = 22212^2 + 4^2 .

It is a super-3 number, since 3×493372960³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (493372961) 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 3 ways as a sum of consecutive naturals, for example, 1541631 + ... + 1541950.

Almost surely, 2^493372960 is an apocalyptic number.

493372960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493372960 is an abundant number, since it is smaller than the sum of its proper divisors (672221036).

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

493372960 is a wasteful number, since it uses less digits than its factorization.

493372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083596 (or 3083588 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 493372960 is about 22212.0003601657. Note that the first 3 decimals coincide. The cubic root of 493372960 is about 790.1783285936.

The spelling of 493372960 in words is "four hundred ninety-three million, three hundred seventy-two thousand, nine hundred sixty".