492991488 has 176 divisors, whose sum is σ = 1593712320. Its totient is φ = 149299200.

The previous prime is 492991487. The next prime is 492991511. The reversal of 492991488 is 884199294.

492991488 is a `hidden beast` number, since 492 + 9 + 9 + 148 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492991487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303318 + ... + 304938.

Almost surely, 2^492991488 is an apocalyptic number.

492991488 is a gapful number since it is divisible by the number (48) 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 492991488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796856160).

492991488 is an abundant number, since it is smaller than the sum of its proper divisors (1100720832).

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

492991488 is a wasteful number, since it uses less digits than its factorization.

492991488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1637 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 492991488 is about 22203.4116297474. The cubic root of 492991488 is about 789.9746229097.

The spelling of 492991488 in words is "four hundred ninety-two million, nine hundred ninety-one thousand, four hundred eighty-eight".