492488352 has 144 divisors (see below), whose sum is σ = 1454642280. Its totient is φ = 157925376.

The previous prime is 492488333. The next prime is 492488371. The reversal of 492488352 is 253884294.

It is an interprime number because it is at equal distance from previous prime (492488333) and next prime (492488371).

It can be written as a sum of positive squares in 4 ways, for example, as 462938256 + 29550096 = 21516^2 + 5436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 492488298 and 492488307.

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, 1203924 + ... + 1204332.

Almost surely, 2^492488352 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 492488352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727321140).

492488352 is an abundant number, since it is smaller than the sum of its proper divisors (962153928).

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

492488352 is a wasteful number, since it uses less digits than its factorization.

492488352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 492488352 is about 22192.0785867390. The cubic root of 492488352 is about 789.7057880022.

It can be divided in two parts, 49248 and 8352, that added together give a square (57600 = 240²).

The spelling of 492488352 in words is "four hundred ninety-two million, four hundred eighty-eight thousand, three hundred fifty-two".