1481745824 has 96 divisors (see below), whose sum is σ = 3242514240. Its totient is φ = 662280192.

The previous prime is 1481745817. The next prime is 1481745869. The reversal of 1481745824 is 4285471841.

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, 1791299 + ... + 1792125.

It is an arithmetic number, because the mean of its divisors is an integer number (33776190).

Almost surely, 2^1481745824 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 1481745824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621257120).

1481745824 is an abundant number, since it is smaller than the sum of its proper divisors (1760768416).

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

1481745824 is a wasteful number, since it uses less digits than its factorization.

1481745824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its digits is 286720, while the sum is 44.

The square root of 1481745824 is about 38493.4517028546. The cubic root of 1481745824 is about 1140.0517633211.

The spelling of 1481745824 in words is "one billion, four hundred eighty-one million, seven hundred forty-five thousand, eight hundred twenty-four".