493072272 has 360 divisors, whose sum is σ = 1815782592. Its totient is φ = 125971200.

The previous prime is 493072247. The next prime is 493072277. The reversal of 493072272 is 272270394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (493072277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8083122 + ... + 8083182.

Almost surely, 2^493072272 is an apocalyptic number.

493072272 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 493072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907891296).

493072272 is an abundant number, since it is smaller than the sum of its proper divisors (1322710320).

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

493072272 is an equidigital number, since it uses as much as digits as its factorization.

493072272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 493072272 is about 22205.2307351218. The cubic root of 493072272 is about 790.0177702567.

The spelling of 493072272 in words is "four hundred ninety-three million, seventy-two thousand, two hundred seventy-two".