481144200 has 192 divisors, whose sum is σ = 1617485760. Its totient is φ = 117841920.

The previous prime is 481144193. The next prime is 481144231. The reversal of 481144200 is 2441184.

It is a super-3 number, since 3×481144200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 438052 + ... + 439148.

It is an arithmetic number, because the mean of its divisors is an integer number (8424405).

Almost surely, 2^481144200 is an apocalyptic number.

481144200 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 481144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808742880).

481144200 is an abundant number, since it is smaller than the sum of its proper divisors (1136341560).

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

481144200 is a wasteful number, since it uses less digits than its factorization.

481144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 481144200 is about 21934.9994301345. Note that the first 3 decimals coincide. The cubic root of 481144200 is about 783.5951722631.

Adding to 481144200 its reverse (2441184), we get a palindrome (483585384).

The spelling of 481144200 in words is "four hundred eighty-one million, one hundred forty-four thousand, two hundred".