1481731200 has 144 divisors (see below), whose sum is σ = 5287259250. Its totient is φ = 395120640.

The previous prime is 1481731159. The next prime is 1481731213. The reversal of 1481731200 is 21371841.

It can be written as a sum of positive squares in 3 ways, for example, as 962985024 + 518746176 = 31032^2 + 22776^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3076 + ... + 54524.

Almost surely, 2^1481731200 is an apocalyptic number.

1481731200 is a gapful number since it is divisible by the number (10) 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 1481731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643629625).

1481731200 is an abundant number, since it is smaller than the sum of its proper divisors (3805528050).

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

1481731200 is a wasteful number, since it uses less digits than its factorization.

1481731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51479 (or 51459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1481731200 is about 38493.2617479995. The cubic root of 1481731200 is about 1140.0480127516.

The spelling of 1481731200 in words is "one billion, four hundred eighty-one million, seven hundred thirty-one thousand, two hundred".