481985280 has 432 divisors, whose sum is σ = 1964202240. Its totient is φ = 106831872.

The previous prime is 481985279. The next prime is 481985297. The reversal of 481985280 is 82589184.

It is a happy number.

481985280 is a `hidden beast` number, since 481 + 98 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467451 + ... + 3467589.

Almost surely, 2^481985280 is an apocalyptic number.

481985280 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 481985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982101120).

481985280 is an abundant number, since it is smaller than the sum of its proper divisors (1482216960).

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

481985280 is a wasteful number, since it uses less digits than its factorization.

481985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 481985280 is about 21954.1631587269. The cubic root of 481985280 is about 784.0515029334.

The spelling of 481985280 in words is "four hundred eighty-one million, nine hundred eighty-five thousand, two hundred eighty".