493309440 has 480 divisors, whose sum is σ = 1939313376. Its totient is φ = 119439360.

The previous prime is 493309433. The next prime is 493309457. The reversal of 493309440 is 44903394.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×493309440² = 486708407186227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 493309395 and 493309404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8087010 + ... + 8087070.

Almost surely, 2^493309440 is an apocalyptic number.

493309440 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 493309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969656688).

493309440 is an abundant number, since it is smaller than the sum of its proper divisors (1446003936).

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

493309440 is an equidigital number, since it uses as much as digits as its factorization.

493309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493309440 is about 22210.5704564291. The cubic root of 493309440 is about 790.1444162624.

The spelling of 493309440 in words is "four hundred ninety-three million, three hundred nine thousand, four hundred forty".