493982720 has 264 divisors, whose sum is σ = 1512159840. Its totient is φ = 153108480.

The previous prime is 493982693. The next prime is 493982743. The reversal of 493982720 is 27289394.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759591 + ... + 2759769.

Almost surely, 2^493982720 is an apocalyptic number.

493982720 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 493982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756079920).

493982720 is an abundant number, since it is smaller than the sum of its proper divisors (1018177120).

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

493982720 is a wasteful number, since it uses less digits than its factorization.

493982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 493982720 is about 22225.7220355155. The cubic root of 493982720 is about 790.5037219027.

The spelling of 493982720 in words is "four hundred ninety-three million, nine hundred eighty-two thousand, seven hundred twenty".