492048000 has 512 divisors, whose sum is σ = 1947628800. Its totient is φ = 121651200.

The previous prime is 492047999. The next prime is 492048001. The reversal of 492048000 is 840294.

It is an interprime number because it is at equal distance from previous prime (492047999) and next prime (492048001).

It is a super-2 number, since 2×492048000² = 484222468608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (492048001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343967 + ... + 7344033.

Almost surely, 2^492048000 is an apocalyptic number.

492048000 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 492048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973814400).

492048000 is an abundant number, since it is smaller than the sum of its proper divisors (1455580800).

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

492048000 is a wasteful number, since it uses less digits than its factorization.

492048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 492048000 is about 22182.1549899914. The cubic root of 492048000 is about 789.4703494596.

Adding to 492048000 its reverse (840294), we get a palindrome (492888294).

The spelling of 492048000 in words is "four hundred ninety-two million, forty-eight thousand".