480138208 has 192 divisors, whose sum is σ = 1188794880. Its totient is φ = 188006400.

The previous prime is 480138163. The next prime is 480138209. The reversal of 480138208 is 802831084.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480138209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4661485 + ... + 4661587.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^480138208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480138208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

480138208 is an abundant number, since it is smaller than the sum of its proper divisors (708656672).

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

480138208 is a wasteful number, since it uses less digits than its factorization.

480138208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 480138208 is about 21912.0562248275. The cubic root of 480138208 is about 783.0486690817.

The spelling of 480138208 in words is "four hundred eighty million, one hundred thirty-eight thousand, two hundred eight".