1481313600 has 504 divisors, whose sum is σ = 5838319032. Its totient is φ = 353894400.

The previous prime is 1481313563. The next prime is 1481313601. The reversal of 1481313600 is 63131841.

1481313600 is a `hidden beast` number, since 1 + 48 + 1 + 3 + 13 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1231167744 + 250145856 = 35088^2 + 15816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481313601) 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 71 ways as a sum of consecutive naturals, for example, 7675104 + ... + 7675296.

Almost surely, 2^1481313600 is an apocalyptic number.

1481313600 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 1481313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919159516).

1481313600 is an abundant number, since it is smaller than the sum of its proper divisors (4357005432).

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

1481313600 is a wasteful number, since it uses less digits than its factorization.

1481313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1481313600 is about 38487.8370397714. The cubic root of 1481313600 is about 1139.9409018302.

The spelling of 1481313600 in words is "one billion, four hundred eighty-one million, three hundred thirteen thousand, six hundred".