1481948352 has 224 divisors, whose sum is σ = 4529571840. Its totient is φ = 474808320.

The previous prime is 1481948333. The next prime is 1481948381. The reversal of 1481948352 is 2538491841.

1481948352 is a `hidden beast` number, since 1 + 481 + 94 + 83 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1481948298 and 1481948307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5766208 + ... + 5766464.

Almost surely, 2^1481948352 is an apocalyptic number.

1481948352 is a gapful number since it is divisible by the number (12) 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 1481948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264785920).

1481948352 is an abundant number, since it is smaller than the sum of its proper divisors (3047623488).

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

1481948352 is a wasteful number, since it uses less digits than its factorization.

1481948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1481948352 is about 38496.0822941764. The cubic root of 1481948352 is about 1140.1037024776.

The spelling of 1481948352 in words is "one billion, four hundred eighty-one million, nine hundred forty-eight thousand, three hundred fifty-two".