492123072 has 252 divisors, whose sum is σ = 1617887544. Its totient is φ = 131604480.

The previous prime is 492123031. The next prime is 492123083. The reversal of 492123072 is 270321294.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2718822 + ... + 2719002.

Almost surely, 2^492123072 is an apocalyptic number.

492123072 is a gapful number since it is divisible by the number (42) 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 492123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808943772).

492123072 is an abundant number, since it is smaller than the sum of its proper divisors (1125764472).

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

492123072 is a wasteful number, since it uses less digits than its factorization.

492123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 492123072 is about 22183.8470964799. The cubic root of 492123072 is about 789.5104973748.

The spelling of 492123072 in words is "four hundred ninety-two million, one hundred twenty-three thousand, seventy-two".