481075200 has 420 divisors, whose sum is σ = 1843578990. Its totient is φ = 123863040.

The previous prime is 481075187. The next prime is 481075201. The reversal of 481075200 is 2570184.

It can be written as a sum of positive squares in 3 ways, for example, as 361304064 + 119771136 = 19008^2 + 10944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (481075201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588786 + ... + 16588814.

Almost surely, 2^481075200 is an apocalyptic number.

481075200 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 481075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921789495).

481075200 is an abundant number, since it is smaller than the sum of its proper divisors (1362503790).

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

481075200 is an equidigital number, since it uses as much as digits as its factorization.

481075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 481075200 is about 21933.4265448881. The cubic root of 481075200 is about 783.5577124942.

The spelling of 481075200 in words is "four hundred eighty-one million, seventy-five thousand, two hundred".