493393992 has 256 divisors, whose sum is σ = 1635863040. Its totient is φ = 120324096.

The previous prime is 493393987. The next prime is 493393993. The reversal of 493393992 is 299393394.

It is a hoax number, since the sum of its digits (51) 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 (51).

It is not an unprimeable number, because it can be changed into a prime (493393993) 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, 3601348 + ... + 3601484.

It is an arithmetic number, because the mean of its divisors is an integer number (6390090).

Almost surely, 2^493393992 is an apocalyptic number.

493393992 is a gapful number since it is divisible by the number (42) 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 493393992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817931520).

493393992 is an abundant number, since it is smaller than the sum of its proper divisors (1142469048).

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

493393992 is a wasteful number, since it uses less digits than its factorization.

493393992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 51.

The square root of 493393992 is about 22212.4737928939. The cubic root of 493393992 is about 790.1895566069.

The spelling of 493393992 in words is "four hundred ninety-three million, three hundred ninety-three thousand, nine hundred ninety-two".