1481786304 has 56 divisors (see below), whose sum is σ = 3932365008. Its totient is φ = 492441600.

The previous prime is 1481786303. The next prime is 1481786363. The reversal of 1481786304 is 4036871841.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481786303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53254 + ... + 76154.

Almost surely, 2^1481786304 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 1481786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966182504).

1481786304 is an abundant number, since it is smaller than the sum of its proper divisors (2450578704).

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

1481786304 is a wasteful number, since it uses less digits than its factorization.

1481786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23253 (or 23243 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1481786304 is about 38493.9775029809. The cubic root of 1481786304 is about 1140.0621449656.

The spelling of 1481786304 in words is "one billion, four hundred eighty-one million, seven hundred eighty-six thousand, three hundred four".