481050360 has 512 divisors, whose sum is σ = 2052864000. Its totient is φ = 97542144.

The previous prime is 481050337. The next prime is 481050371. The reversal of 481050360 is 63050184.

It is a super-3 number, since 3×481050360³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2441782 + ... + 2441978.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 2^481050360 is an apocalyptic number.

481050360 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 481050360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026432000).

481050360 is an abundant number, since it is smaller than the sum of its proper divisors (1571813640).

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

481050360 is a wasteful number, since it uses less digits than its factorization.

481050360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 481050360 is about 21932.8602785866. The cubic root of 481050360 is about 783.5442261005.

The spelling of 481050360 in words is "four hundred eighty-one million, fifty thousand, three hundred sixty".