81459456 has 144 divisors (see below), whose sum is σ = 240374400. Its totient is φ = 24330240.

The previous prime is 81459449. The next prime is 81459467. The reversal of 81459456 is 65495418.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409245 + ... + 409443.

Almost surely, 2^81459456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120187200).

81459456 is an abundant number, since it is smaller than the sum of its proper divisors (158914944).

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

81459456 is a wasteful number, since it uses less digits than its factorization.

81459456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 81459456 is about 9025.4892388169. The cubic root of 81459456 is about 433.4914158279.

The spelling of 81459456 in words is "eighty-one million, four hundred fifty-nine thousand, four hundred fifty-six".