492480000 has 500 divisors, whose sum is σ = 1933490460. Its totient is φ = 124416000.

The previous prime is 492479993. The next prime is 492480011. The reversal of 492480000 is 84294.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-3 number, since 3×492480000³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919991 + ... + 25920009.

Almost surely, 2^492480000 is an apocalyptic number.

492480000 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 492480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966745230).

492480000 is an abundant number, since it is smaller than the sum of its proper divisors (1441010460).

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

492480000 is an frugal number, since it uses more digits than its factorization.

492480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

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

The square root of 492480000 is about 22191.8904106883. The cubic root of 492480000 is about 789.7013238290.

The spelling of 492480000 in words is "four hundred ninety-two million, four hundred eighty thousand".