492766720 has 80 divisors (see below), whose sum is σ = 1233001440. Its totient is φ = 188514304.

The previous prime is 492766699. The next prime is 492766739. The reversal of 492766720 is 27667294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54696 + ... + 63064.

It is an arithmetic number, because the mean of its divisors is an integer number (15412518).

Almost surely, 2^492766720 is an apocalyptic number.

492766720 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 492766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616500720).

492766720 is an abundant number, since it is smaller than the sum of its proper divisors (740234720).

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

492766720 is an equidigital number, since it uses as much as digits as its factorization.

492766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 492766720 is about 22198.3494881939. The cubic root of 492766720 is about 789.8545478089.

The spelling of 492766720 in words is "four hundred ninety-two million, seven hundred sixty-six thousand, seven hundred twenty".