492272000 has 128 divisors (see below), whose sum is σ = 1335653280. Its totient is φ = 178944000.

The previous prime is 492271979. The next prime is 492272023. The reversal of 492272000 is 272294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×492272000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174602 + ... + 177398.

Almost surely, 2^492272000 is an apocalyptic number.

492272000 is a gapful number since it is divisible by the number (40) 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 492272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667826640).

492272000 is an abundant number, since it is smaller than the sum of its proper divisors (843381280).

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

492272000 is a wasteful number, since it uses less digits than its factorization.

492272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 492272000 is about 22187.2035191459. The cubic root of 492272000 is about 789.5901308156.

The spelling of 492272000 in words is "four hundred ninety-two million, two hundred seventy-two thousand".