492953328 has 180 divisors, whose sum is σ = 1689746760. Its totient is φ = 133394688.

The previous prime is 492953303. The next prime is 492953359. The reversal of 492953328 is 823359294.

It is a happy number.

492953328 is a `hidden beast` number, since 4 + 92 + 9 + 533 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132226 + ... + 135902.

It is an arithmetic number, because the mean of its divisors is an integer number (9387482).

Almost surely, 2^492953328 is an apocalyptic number.

492953328 is a gapful number since it is divisible by the number (48) 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 492953328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844873380).

492953328 is an abundant number, since it is smaller than the sum of its proper divisors (1196793432).

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

492953328 is a wasteful number, since it uses less digits than its factorization.

492953328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3708 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 492953328 is about 22202.5522857171. The cubic root of 492953328 is about 789.9542397251.

The spelling of 492953328 in words is "four hundred ninety-two million, nine hundred fifty-three thousand, three hundred twenty-eight".