493765272 has 576 divisors, whose sum is σ = 1973237760. Its totient is φ = 107827200.

The previous prime is 493765271. The next prime is 493765273. The reversal of 493765272 is 272567394.

493765272 is a `hidden beast` number, since 4 + 9 + 376 + 5 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (493765271) and next prime (493765273).

Its product of digits (635040) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493765271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15927897 + ... + 15927927.

It is an arithmetic number, because the mean of its divisors is an integer number (3425760).

Almost surely, 2^493765272 is an apocalyptic number.

493765272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493765272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986618880).

493765272 is an abundant number, since it is smaller than the sum of its proper divisors (1479472488).

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

493765272 is a wasteful number, since it uses less digits than its factorization.

493765272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 493765272 is about 22220.8296874802. The cubic root of 493765272 is about 790.3877133362.

The spelling of 493765272 in words is "four hundred ninety-three million, seven hundred sixty-five thousand, two hundred seventy-two".