493288920 has 128 divisors (see below), whose sum is σ = 1664409600. Its totient is φ = 129935232.

The previous prime is 493288919. The next prime is 493288931. The reversal of 493288920 is 29882394.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86889 + ... + 92391.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200).

Almost surely, 2^493288920 is an apocalyptic number.

493288920 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 493288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832204800).

493288920 is an abundant number, since it is smaller than the sum of its proper divisors (1171120680).

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

493288920 is a wasteful number, since it uses less digits than its factorization.

493288920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 493288920 is about 22210.1085094153. The cubic root of 493288920 is about 790.1334603343.

The spelling of 493288920 in words is "four hundred ninety-three million, two hundred eighty-eight thousand, nine hundred twenty".