481420800 has 480 divisors, whose sum is σ = 2029632000. Its totient is φ = 109486080.

The previous prime is 481420799. The next prime is 481420817. The reversal of 481420800 is 8024184.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419101 + ... + 2419299.

It is an arithmetic number, because the mean of its divisors is an integer number (4228400).

Almost surely, 2^481420800 is an apocalyptic number.

481420800 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 481420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014816000).

481420800 is an abundant number, since it is smaller than the sum of its proper divisors (1548211200).

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

481420800 is a wasteful number, since it uses less digits than its factorization.

481420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 481420800 is about 21941.3035164276. The cubic root of 481420800 is about 783.7453011325.

Adding to 481420800 its reverse (8024184), we get a palindrome (489444984).

The spelling of 481420800 in words is "four hundred eighty-one million, four hundred twenty thousand, eight hundred".