480450000 has 120 divisors (see below), whose sum is σ = 1551838176. Its totient is φ = 128080000.

The previous prime is 480449999. The next prime is 480450029. The reversal of 480450000 is 54084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148399 + ... + 151601.

Almost surely, 2^480450000 is an apocalyptic number.

480450000 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 480450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775919088).

480450000 is an abundant number, since it is smaller than the sum of its proper divisors (1071388176).

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

480450000 is an equidigital number, since it uses as much as digits as its factorization.

480450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 480450000 is about 21919.1696923036. The cubic root of 480450000 is about 783.2181310389.

It can be divided in two parts, 480 and 450000, that multiplied together give a cube (216000000 = 600³).

The spelling of 480450000 in words is "four hundred eighty million, four hundred fifty thousand".