492955632 has 140 divisors (see below), whose sum is σ = 1542625224. Its totient is φ = 151632000.

The previous prime is 492955609. The next prime is 492955663. The reversal of 492955632 is 236559294.

492955632 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 5 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150007 + ... + 153257.

Almost surely, 2^492955632 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 492955632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771312612).

492955632 is an abundant number, since it is smaller than the sum of its proper divisors (1049669592).

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

492955632 is a wasteful number, since it uses less digits than its factorization.

492955632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3269 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 492955632 is about 22202.6041715831. The cubic root of 492955632 is about 789.9554704378.

The spelling of 492955632 in words is "four hundred ninety-two million, nine hundred fifty-five thousand, six hundred thirty-two".