481829600 has 144 divisors (see below), whose sum is σ = 1356163200. Its totient is φ = 163745280.

The previous prime is 481829587. The next prime is 481829603. The reversal of 481829600 is 6928184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481829603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778091 + ... + 778709.

It is an arithmetic number, because the mean of its divisors is an integer number (9417800).

Almost surely, 2^481829600 is an apocalyptic number.

481829600 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 481829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

481829600 is an abundant number, since it is smaller than the sum of its proper divisors (874333600).

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

481829600 is a wasteful number, since it uses less digits than its factorization.

481829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 481829600 is about 21950.6173033926. The cubic root of 481829600 is about 783.9670783066.

The spelling of 481829600 in words is "four hundred eighty-one million, eight hundred twenty-nine thousand, six hundred".