493392314880 has 320 divisors, whose sum is σ = 1785651246720. Its totient is φ = 129087848448.

The previous prime is 493392314837. The next prime is 493392314881. The reversal of 493392314880 is 88413293394.

493392314880 is a `hidden beast` number, since 49 + 3 + 3 + 92 + 31 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (493392314881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3596019 + ... + 3730701.

It is an arithmetic number, because the mean of its divisors is an integer number (5580160146).

Almost surely, 2^493392314880 is an apocalyptic number.

493392314880 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 493392314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892825623360).

493392314880 is an abundant number, since it is smaller than the sum of its proper divisors (1292258931840).

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

493392314880 is a wasteful number, since it uses less digits than its factorization.

493392314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134768 (or 134746 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 493392314880 in words is "four hundred ninety-three billion, three hundred ninety-two million, three hundred fourteen thousand, eight hundred eighty".