493832574720 has 576 divisors, whose sum is σ = 1778304528000. Its totient is φ = 129758920704.

The previous prime is 493832574667. The next prime is 493832574721. The reversal of 493832574720 is 27475238394.

It is a happy number.

493832574720 is a `hidden beast` number, since 4 + 9 + 38 + 32 + 574 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×493832574720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493832574721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269492286 + ... + 1269492674.

It is an arithmetic number, because the mean of its divisors is an integer number (3087334250).

Almost surely, 2^493832574720 is an apocalyptic number.

493832574720 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 493832574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889152264000).

493832574720 is an abundant number, since it is smaller than the sum of its proper divisors (1284471953280).

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

493832574720 is a wasteful number, since it uses less digits than its factorization.

493832574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 493832574720 in words is "four hundred ninety-three billion, eight hundred thirty-two million, five hundred seventy-four thousand, seven hundred twenty".