581481600 has 384 divisors, whose sum is σ = 2322172800. Its totient is φ = 124846080.

The previous prime is 581481577. The next prime is 581481623. The reversal of 581481600 is 6184185.

It is an interprime number because it is at equal distance from previous prime (581481577) and next prime (581481623).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×581481600² = 676241702277120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142146 + ... + 1142654.

It is an arithmetic number, because the mean of its divisors is an integer number (6047325).

Almost surely, 2^581481600 is an apocalyptic number.

581481600 is a gapful number since it is divisible by the number (50) 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 581481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161086400).

581481600 is an abundant number, since it is smaller than the sum of its proper divisors (1740691200).

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

581481600 is a wasteful number, since it uses less digits than its factorization.

581481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 581481600 is about 24113.9295843709. The cubic root of 581481600 is about 834.6645957116.

The spelling of 581481600 in words is "five hundred eighty-one million, four hundred eighty-one thousand, six hundred".