480249000 has 720 divisors, whose sum is σ = 2146484340. Its totient is φ = 99792000.

The previous prime is 480248981. The next prime is 480249017. The reversal of 480249000 is 942084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 324648324 + 155600676 = 18018^2 + 12474^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 43658995 + ... + 43659005.

Almost surely, 2^480249000 is an apocalyptic number.

480249000 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 480249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073242170).

480249000 is an abundant number, since it is smaller than the sum of its proper divisors (1666235340).

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

480249000 is a wasteful number, since it uses less digits than its factorization.

480249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

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

The square root of 480249000 is about 21914.5841849669. The cubic root of 480249000 is about 783.1088940021.

The spelling of 480249000 in words is "four hundred eighty million, two hundred forty-nine thousand".