481217200 has 60 divisors (see below), whose sum is σ = 1160972568. Its totient is φ = 191680000.

The previous prime is 481217183. The next prime is 481217267. The reversal of 481217200 is 2712184.

It is a happy number.

481217200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98004 + ... + 102796.

Almost surely, 2^481217200 is an apocalyptic number.

481217200 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 481217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580486284).

481217200 is an abundant number, since it is smaller than the sum of its proper divisors (679755368).

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

481217200 is a wasteful number, since it uses less digits than its factorization.

481217200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 481217200 is about 21936.6633743603. The cubic root of 481217200 is about 783.6347997143.

Adding to 481217200 its reverse (2712184), we get a palindrome (483929384).

The spelling of 481217200 in words is "four hundred eighty-one million, two hundred seventeen thousand, two hundred".