481356288 has 120 divisors (see below), whose sum is σ = 1587794208. Its totient is φ = 137521152.

The previous prime is 481356283. The next prime is 481356311. The reversal of 481356288 is 882653184.

481356288 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 562 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (481356283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24795 + ... + 39717.

Almost surely, 2^481356288 is an apocalyptic number.

481356288 is a gapful number since it is divisible by the number (48) 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 481356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793897104).

481356288 is an abundant number, since it is smaller than the sum of its proper divisors (1106437920).

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

481356288 is a wasteful number, since it uses less digits than its factorization.

481356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14935 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 481356288 is about 21939.8333630864. The cubic root of 481356288 is about 783.7102914033.

The spelling of 481356288 in words is "four hundred eighty-one million, three hundred fifty-six thousand, two hundred eighty-eight".