1481182976 has 216 divisors, whose sum is σ = 3836375424. Its totient is φ = 565125120.

The previous prime is 1481182973. The next prime is 1481183047. The reversal of 1481182976 is 6792811841.

It is a self number, because there is not a number n which added to its sum of digits gives 1481182976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481182973) 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, 5055086 + ... + 5055378.

Almost surely, 2^1481182976 is an apocalyptic number.

1481182976 is a gapful number since it is divisible by the number (16) 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 1481182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918187712).

1481182976 is an abundant number, since it is smaller than the sum of its proper divisors (2355192448).

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

1481182976 is a wasteful number, since it uses less digits than its factorization.

1481182976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its digits is 193536, while the sum is 47.

The square root of 1481182976 is about 38486.1400506728. The cubic root of 1481182976 is about 1139.9073937291.

The spelling of 1481182976 in words is "one billion, four hundred eighty-one million, one hundred eighty-two thousand, nine hundred seventy-six".