481183488 has 108 divisors (see below), whose sum is σ = 1432337088. Its totient is φ = 155197440.

The previous prime is 481183463. The next prime is 481183501. The reversal of 481183488 is 884381184.

It is a super-2 number, since 2×481183488² = 463075098247692288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68056 + ... + 74792.

Almost surely, 2^481183488 is an apocalyptic number.

481183488 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 481183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716168544).

481183488 is an abundant number, since it is smaller than the sum of its proper divisors (951153600).

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

481183488 is a wasteful number, since it uses less digits than its factorization.

481183488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6773 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 481183488 is about 21935.8949669258. The cubic root of 481183488 is about 783.6164999297.

It can be divided in two parts, 481183 and 488, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 481183488 in words is "four hundred eighty-one million, one hundred eighty-three thousand, four hundred eighty-eight".