493864272 has 120 divisors (see below), whose sum is σ = 1528795008. Its totient is φ = 147571200.

The previous prime is 493864253. The next prime is 493864277. The reversal of 493864272 is 272468394.

It is a super-3 number, since 3×493864272³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493864277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113497 + ... + 117767.

Almost surely, 2^493864272 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 493864272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764397504).

493864272 is an abundant number, since it is smaller than the sum of its proper divisors (1034930736).

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

493864272 is a wasteful number, since it uses less digits than its factorization.

493864272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4360 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 493864272 is about 22223.0572154238. The cubic root of 493864272 is about 790.4405340853.

The spelling of 493864272 in words is "four hundred ninety-three million, eight hundred sixty-four thousand, two hundred seventy-two".