492928020 has 144 divisors (see below), whose sum is σ = 1695133440. Its totient is φ = 114939648.

The previous prime is 492927997. The next prime is 492928031. The reversal of 492928020 is 20829294.

492928020 is a `hidden beast` number, since 492 + 92 + 80 + 2 + 0 = 666.

It is a super-2 number, since 2×492928020² = 485956065802240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38917 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2^492928020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492928020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847566720).

492928020 is an abundant number, since it is smaller than the sum of its proper divisors (1202205420).

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

492928020 is a wasteful number, since it uses less digits than its factorization.

492928020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 492928020 is about 22201.9823439260. The cubic root of 492928020 is about 789.9407208631.

The spelling of 492928020 in words is "four hundred ninety-two million, nine hundred twenty-eight thousand, twenty".