492972000 has 96 divisors (see below), whose sum is σ = 1615015584. Its totient is φ = 131456000.

The previous prime is 492971989. The next prime is 492972023. The reversal of 492972000 is 279294.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8541 + ... + 32540.

It is an arithmetic number, because the mean of its divisors is an integer number (16823079).

Almost surely, 2^492972000 is an apocalyptic number.

492972000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492972000 is an abundant number, since it is smaller than the sum of its proper divisors (1122043584).

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

492972000 is a wasteful number, since it uses less digits than its factorization.

492972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41109 (or 41091 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 492972000 is about 22202.9727739328. The cubic root of 492972000 is about 789.9642135154.

The spelling of 492972000 in words is "four hundred ninety-two million, nine hundred seventy-two thousand".