493233312 has 384 divisors, whose sum is σ = 1679892480. Its totient is φ = 124416000.

The previous prime is 493233311. The next prime is 493233313. The reversal of 493233312 is 213332394.

It is an interprime number because it is at equal distance from previous prime (493233311) and next prime (493233313).

It is a self number, because there is not a number n which added to its sum of digits gives 493233312.

It is not an unprimeable number, because it can be changed into a prime (493233311) 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, 8085762 + ... + 8085822.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^493233312 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 493233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839946240).

493233312 is an abundant number, since it is smaller than the sum of its proper divisors (1186659168).

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

493233312 is a wasteful number, since it uses less digits than its factorization.

493233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 493233312 is about 22208.8566117214. The cubic root of 493233312 is about 790.1037688825.

The spelling of 493233312 in words is "four hundred ninety-three million, two hundred thirty-three thousand, three hundred twelve".