481673088 has 256 divisors, whose sum is σ = 1562803200. Its totient is φ = 145152000.

The previous prime is 481673081. The next prime is 481673111. The reversal of 481673088 is 880376184.

481673088 is a `hidden beast` number, since 481 + 67 + 30 + 88 = 666.

It is a super-3 number, since 3×481673088³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481673081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189813 + ... + 3189963.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2^481673088 is an apocalyptic number.

481673088 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 481673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

481673088 is an abundant number, since it is smaller than the sum of its proper divisors (1081130112).

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

481673088 is a wasteful number, since it uses less digits than its factorization.

481673088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 481673088 is about 21947.0519204744. The cubic root of 481673088 is about 783.8821841564.

The spelling of 481673088 in words is "four hundred eighty-one million, six hundred seventy-three thousand, eighty-eight".