480644208 has 240 divisors, whose sum is σ = 1543651200. Its totient is φ = 138309120.

The previous prime is 480644201. The next prime is 480644221. The reversal of 480644208 is 802446084.

480644208 is a `hidden beast` number, since 4 + 8 + 0 + 644 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×480644208³ (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 not an unprimeable number, because it can be changed into a prime (480644201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457803 + ... + 3457941.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^480644208 is an apocalyptic number.

480644208 is a gapful number since it is divisible by the number (48) 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 480644208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

480644208 is an abundant number, since it is smaller than the sum of its proper divisors (1063006992).

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

480644208 is a wasteful number, since it uses less digits than its factorization.

480644208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

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

The square root of 480644208 is about 21923.5993395245. The cubic root of 480644208 is about 783.3236479060.

The spelling of 480644208 in words is "four hundred eighty million, six hundred forty-four thousand, two hundred eight".