1381585464 has 256 divisors, whose sum is σ = 4523904000. Its totient is φ = 382579200.

The previous prime is 1381585441. The next prime is 1381585481. The reversal of 1381585464 is 4645851831.

1381585464 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 585 + 4 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12675042 + ... + 12675150.

It is an arithmetic number, because the mean of its divisors is an integer number (17671500).

Almost surely, 2^1381585464 is an apocalyptic number.

1381585464 is a gapful number since it is divisible by the number (14) 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 1381585464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952000).

1381585464 is an abundant number, since it is smaller than the sum of its proper divisors (3142318536).

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

1381585464 is a wasteful number, since it uses less digits than its factorization.

1381585464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1381585464 is about 37169.6847444258. The cubic root of 1381585464 is about 1113.7624841871.

The spelling of 1381585464 in words is "one billion, three hundred eighty-one million, five hundred eighty-five thousand, four hundred sixty-four".