493790240 has 144 divisors (see below), whose sum is σ = 1258141248. Its totient is φ = 183071232.

The previous prime is 493790203. The next prime is 493790249. The reversal of 493790240 is 42097394.

It is a super-2 number, since 2×493790240² = 487657602238515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 493790194 and 493790203.

It is not an unprimeable number, because it can be changed into a prime (493790249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4794029 + ... + 4794131.

It is an arithmetic number, because the mean of its divisors is an integer number (8737092).

Almost surely, 2^493790240 is an apocalyptic number.

493790240 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 493790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629070624).

493790240 is an abundant number, since it is smaller than the sum of its proper divisors (764351008).

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

493790240 is a wasteful number, since it uses less digits than its factorization.

493790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 493790240 is about 22221.3914955837. The cubic root of 493790240 is about 790.4010355016.

The spelling of 493790240 in words is "four hundred ninety-three million, seven hundred ninety thousand, two hundred forty".