1481312 has 48 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 595968.

The previous prime is 1481309. The next prime is 1481321. The reversal of 1481312 is 2131841.

1481312 = T₄₅₃ + T₄₅₄ + ... + T₄₆₆.

It is an Ulam number.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3614 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^1481312 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 1481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1481312 is an abundant number, since it is smaller than the sum of its proper divisors (2056768).

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

1481312 is a wasteful number, since it uses less digits than its factorization.

1481312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 1481312 is about 1217.0916152862. The cubic root of 1481312 is about 113.9940491405.

The spelling of 1481312 in words is "one million, four hundred eighty-one thousand, three hundred twelve".