493064755200 has 360 divisors, whose sum is σ = 1826222137740. Its totient is φ = 131482828800.

The previous prime is 493064755129. The next prime is 493064755201. The reversal of 493064755200 is 2557460394.

493064755200 is a `hidden beast` number, since 4 + 9 + 30 + 64 + 7 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×493064755200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493064755201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4087755 + ... + 4206645.

Almost surely, 2^493064755200 is an apocalyptic number.

493064755200 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 493064755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913111068870).

493064755200 is an abundant number, since it is smaller than the sum of its proper divisors (1333157382540).

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

493064755200 is a wasteful number, since it uses less digits than its factorization.

493064755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118935 (or 118901 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 493064755200 in words is "four hundred ninety-three billion, sixty-four million, seven hundred fifty-five thousand, two hundred".