493246720 has 72 divisors (see below), whose sum is σ = 1188565560. Its totient is φ = 196116480.

The previous prime is 493246693. The next prime is 493246723. The reversal of 493246720 is 27642394.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 482593024 = 3264^2 + 21968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 493246720.

It is not an unprimeable number, because it can be changed into a prime (493246723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230616 + ... + 232744.

It is an arithmetic number, because the mean of its divisors is an integer number (16507855).

Almost surely, 2^493246720 is an apocalyptic number.

493246720 is a gapful number since it is divisible by the number (40) 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 493246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594282780).

493246720 is an abundant number, since it is smaller than the sum of its proper divisors (695318840).

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

493246720 is a wasteful number, since it uses less digits than its factorization.

493246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 493246720 is about 22209.1584712253. The cubic root of 493246720 is about 790.1109281823.

The spelling of 493246720 in words is "four hundred ninety-three million, two hundred forty-six thousand, seven hundred twenty".