493242080 has 72 divisors (see below), whose sum is σ = 1237978728. Its totient is φ = 185673728.

The previous prime is 493242077. The next prime is 493242089. The reversal of 493242080 is 80242394.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493242089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40907 + ... + 51573.

It is an arithmetic number, because the mean of its divisors is an integer number (17194149).

Almost surely, 2^493242080 is an apocalyptic number.

493242080 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 493242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618989364).

493242080 is an abundant number, since it is smaller than the sum of its proper divisors (744736648).

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

493242080 is a wasteful number, since it uses less digits than its factorization.

493242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10716 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 493242080 is about 22209.0540095701. The cubic root of 493242080 is about 790.1084506350.

The spelling of 493242080 in words is "four hundred ninety-three million, two hundred forty-two thousand, eighty".