480110400 has 504 divisors, whose sum is σ = 2132405184. Its totient is φ = 99532800.

The previous prime is 480110383. The next prime is 480110401. The reversal of 480110400 is 4011084.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480110401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108584 + ... + 1109016.

Almost surely, 2^480110400 is an apocalyptic number.

480110400 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 480110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066202592).

480110400 is an abundant number, since it is smaller than the sum of its proper divisors (1652294784).

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

480110400 is a wasteful number, since it uses less digits than its factorization.

480110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 480110400 is about 21911.4216791152. The cubic root of 480110400 is about 783.0335516027.

Adding to 480110400 its reverse (4011084), we get a palindrome (484121484).

The spelling of 480110400 in words is "four hundred eighty million, one hundred ten thousand, four hundred".