481961088 has 192 divisors, whose sum is σ = 1613476800. Its totient is φ = 135235584.

The previous prime is 481961059. The next prime is 481961093. The reversal of 481961088 is 880169184.

481961088 is a `hidden beast` number, since 481 + 96 + 1 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×481961088² = 464572980692287488, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 475270 + ... + 476282.

It is an arithmetic number, because the mean of its divisors is an integer number (8403525).

Almost surely, 2^481961088 is an apocalyptic number.

481961088 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 481961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806738400).

481961088 is an abundant number, since it is smaller than the sum of its proper divisors (1131515712).

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

481961088 is a wasteful number, since it uses less digits than its factorization.

481961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 481961088 is about 21953.6121856974. The cubic root of 481961088 is about 784.0383849039.

It can be divided in two parts, 48196 and 1088, that added together give a square (49284 = 222²).

The spelling of 481961088 in words is "four hundred eighty-one million, nine hundred sixty-one thousand, eighty-eight".