493329528000 has 1120 divisors, whose sum is σ = 2034979277760. Its totient is φ = 117249638400.

The previous prime is 493329527987. The next prime is 493329528007. The reversal of 493329528000 is 825923394.

It is a happy number.

493329528000 is a `hidden beast` number, since 4 + 93 + 32 + 9 + 528 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (493329528007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 209302822 + ... + 209305178.

Almost surely, 2^493329528000 is an apocalyptic number.

493329528000 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 493329528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017489638880).

493329528000 is an abundant number, since it is smaller than the sum of its proper divisors (1541649749760).

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

493329528000 is a wasteful number, since it uses less digits than its factorization.

493329528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 493329528000 in words is "four hundred ninety-three billion, three hundred twenty-nine million, five hundred twenty-eight thousand".