480644280 has 224 divisors, whose sum is σ = 1657337760. Its totient is φ = 125349120.

The previous prime is 480644279. The next prime is 480644291. The reversal of 480644280 is 82446084.

480644280 is a `hidden beast` number, since 4 + 8 + 0 + 644 + 2 + 8 + 0 = 666.

It is a super-3 number, since 3×480644280³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 1545325 + ... + 1545635.

Almost surely, 2^480644280 is an apocalyptic number.

480644280 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 480644280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828668880).

480644280 is an abundant number, since it is smaller than the sum of its proper divisors (1176693480).

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

480644280 is a wasteful number, since it uses less digits than its factorization.

480644280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 480644280 is about 21923.6009815906. The cubic root of 480644280 is about 783.3236870197.

The spelling of 480644280 in words is "four hundred eighty million, six hundred forty-four thousand, two hundred eighty".