493399546920 has 768 divisors, whose sum is σ = 2015371238400. Its totient is φ = 102073466880.

The previous prime is 493399546909. The next prime is 493399546973. The reversal of 493399546920 is 29645993394.

493399546920 is a `hidden beast` number, since 493 + 3 + 9 + 9 + 54 + 6 + 92 + 0 = 666.

It is a super-2 number, since 2×493399546920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 386373322 + ... + 386374598.

It is an arithmetic number, because the mean of its divisors is an integer number (2624181300).

Almost surely, 2^493399546920 is an apocalyptic number.

493399546920 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 493399546920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007685619200).

493399546920 is an abundant number, since it is smaller than the sum of its proper divisors (1521971691480).

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

493399546920 is a wasteful number, since it uses less digits than its factorization.

493399546920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 493399546920 in words is "four hundred ninety-three billion, three hundred ninety-nine million, five hundred forty-six thousand, nine hundred twenty".