492672960 has 168 divisors, whose sum is σ = 1825081440. Its totient is φ = 121264128.

The previous prime is 492672959. The next prime is 492672979. The reversal of 492672960 is 69276294.

492672960 is a `hidden beast` number, since 492 + 6 + 72 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30861 + ... + 44019.

It is an arithmetic number, because the mean of its divisors is an integer number (10863580).

Almost surely, 2^492672960 is an apocalyptic number.

492672960 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 492672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912540720).

492672960 is an abundant number, since it is smaller than the sum of its proper divisors (1332408480).

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

492672960 is a wasteful number, since it uses less digits than its factorization.

492672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 492672960 is about 22196.2375190031. The cubic root of 492672960 is about 789.8044487411.

The spelling of 492672960 in words is "four hundred ninety-two million, six hundred seventy-two thousand, nine hundred sixty".