493081433600 has 960 divisors, whose sum is σ = 1570935168000. Its totient is φ = 152599265280.

The previous prime is 493081433549. The next prime is 493081433617. The reversal of 493081433600 is 6334180394.

It is a super-2 number, since 2×493081433600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1918604672 + ... + 1918604928.

It is an arithmetic number, because the mean of its divisors is an integer number (1636390800).

Almost surely, 2^493081433600 is an apocalyptic number.

493081433600 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 493081433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785467584000).

493081433600 is an abundant number, since it is smaller than the sum of its proper divisors (1077853734400).

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

493081433600 is a wasteful number, since it uses less digits than its factorization.

493081433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 493081433600 in words is "four hundred ninety-three billion, eighty-one million, four hundred thirty-three thousand, six hundred".