493620046920 has 2304 divisors, whose sum is σ = 2332805529600. Its totient is φ = 90736588800.

The previous prime is 493620046919. The next prime is 493620046957. The reversal of 493620046920 is 29640026394.

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

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 575 ways as a sum of consecutive naturals, for example, 4792427589 + ... + 4792427691.

It is an arithmetic number, because the mean of its divisors is an integer number (1012502400).

Almost surely, 2^493620046920 is an apocalyptic number.

493620046920 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 493620046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166402764800).

493620046920 is an abundant number, since it is smaller than the sum of its proper divisors (1839185482680).

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

493620046920 is a wasteful number, since it uses less digits than its factorization.

493620046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 493620046920 in words is "four hundred ninety-three billion, six hundred twenty million, forty-six thousand, nine hundred twenty".