493152192 has 224 divisors, whose sum is σ = 1617268800. Its totient is φ = 146313216.

The previous prime is 493152181. The next prime is 493152199. The reversal of 493152192 is 291251394.

493152192 is a `hidden beast` number, since 49 + 3 + 1 + 521 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493152199) 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, 651078 + ... + 651834.

It is an arithmetic number, because the mean of its divisors is an integer number (7219950).

Almost surely, 2^493152192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808634400).

493152192 is an abundant number, since it is smaller than the sum of its proper divisors (1124116608).

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

493152192 is a wasteful number, since it uses less digits than its factorization.

493152192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 493152192 is about 22207.0302381926. The cubic root of 493152192 is about 790.0604514976.

The spelling of 493152192 in words is "four hundred ninety-three million, one hundred fifty-two thousand, one hundred ninety-two".