493221312 has 70 divisors (see below), whose sum is σ = 1462077848. Its totient is φ = 164405376.

The previous prime is 493221277. The next prime is 493221317. The reversal of 493221312 is 213122394.

It is a happy number.

It is a super-2 number, since 2×493221312² = 486534525222002688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493221317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42388 + ... + 52755.

Almost surely, 2^493221312 is an apocalyptic number.

It is an amenable number.

493221312 is an abundant number, since it is smaller than the sum of its proper divisors (968856536).

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

493221312 is an equidigital number, since it uses as much as digits as its factorization.

493221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95167 (or 95148 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 493221312 is about 22208.5864475882. The cubic root of 493221312 is about 790.0973612847.

It can be divided in two parts, 4932 and 21312, that added together give a square (26244 = 162²).

The spelling of 493221312 in words is "four hundred ninety-three million, two hundred twenty-one thousand, three hundred twelve".