1381484160 has 576 divisors, whose sum is σ = 5781784320. Its totient is φ = 309049344.

The previous prime is 1381484149. The next prime is 1381484191. The reversal of 1381484160 is 614841831.

It is a happy number.

1381484160 is a `hidden beast` number, since 13 + 8 + 1 + 484 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 29393257 + ... + 29393303.

It is an arithmetic number, because the mean of its divisors is an integer number (10037820).

Almost surely, 2^1381484160 is an apocalyptic number.

1381484160 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 1381484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890892160).

1381484160 is an abundant number, since it is smaller than the sum of its proper divisors (4400300160).

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

1381484160 is an frugal number, since it uses more digits than its factorization.

1381484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1381484160 is about 37168.3219960224. The cubic root of 1381484160 is about 1113.7352615130.

The spelling of 1381484160 in words is "one billion, three hundred eighty-one million, four hundred eighty-four thousand, one hundred sixty".