493403996160 has 768 divisors, whose sum is σ = 1880707701600. Its totient is φ = 123834728448.

The previous prime is 493403996147. The next prime is 493403996221. The reversal of 493403996160 is 61699304394.

493403996160 is a `hidden beast` number, since 4 + 93 + 4 + 0 + 399 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 493403996097 and 493403996106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29023764472 + ... + 29023764488.

Almost surely, 2^493403996160 is an apocalyptic number.

493403996160 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 493403996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940353850800).

493403996160 is an abundant number, since it is smaller than the sum of its proper divisors (1387303705440).

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

493403996160 is an frugal number, since it uses more digits than its factorization.

493403996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 493403996160 in words is "four hundred ninety-three billion, four hundred three million, nine hundred ninety-six thousand, one hundred sixty".