493126920 has 512 divisors, whose sum is σ = 2012774400. Its totient is φ = 105753600.

The previous prime is 493126919. The next prime is 493126993. The reversal of 493126920 is 29621394.

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

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 127 ways as a sum of consecutive naturals, for example, 4787589 + ... + 4787691.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^493126920 is an apocalyptic number.

493126920 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 493126920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006387200).

493126920 is an abundant number, since it is smaller than the sum of its proper divisors (1519647480).

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

493126920 is a wasteful number, since it uses less digits than its factorization.

493126920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 493126920 is about 22206.4612219057. The cubic root of 493126920 is about 790.0469554956.

The spelling of 493126920 in words is "four hundred ninety-three million, one hundred twenty-six thousand, nine hundred twenty".