493204440 has 64 divisors (see below), whose sum is σ = 1488533760. Its totient is φ = 130728320.

The previous prime is 493204427. The next prime is 493204471. The reversal of 493204440 is 44402394.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 493204398 and 493204407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7735 + ... + 32345.

It is an arithmetic number, because the mean of its divisors is an integer number (23258340).

Almost surely, 2^493204440 is an apocalyptic number.

493204440 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 493204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744266880).

493204440 is an abundant number, since it is smaller than the sum of its proper divisors (995329320).

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

493204440 is a wasteful number, since it uses less digits than its factorization.

493204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24792 (or 24788 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 493204440 is about 22208.2065912581. The cubic root of 493204440 is about 790.0883520263.

The spelling of 493204440 in words is "four hundred ninety-three million, two hundred four thousand, four hundred forty".