1381146480 has 240 divisors, whose sum is σ = 5580357120. Its totient is φ = 299054592.

The previous prime is 1381146469. The next prime is 1381146511. The reversal of 1381146480 is 846411831.

It is a happy number.

1381146480 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 1 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88549 + ... + 102971.

It is an arithmetic number, because the mean of its divisors is an integer number (23251488).

Almost surely, 2^1381146480 is an apocalyptic number.

1381146480 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 1381146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790178560).

1381146480 is an abundant number, since it is smaller than the sum of its proper divisors (4199210640).

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

1381146480 is a wasteful number, since it uses less digits than its factorization.

1381146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468 (or 14459 counting only the distinct ones).

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

The square root of 1381146480 is about 37163.7791404480. The cubic root of 1381146480 is about 1113.6445096533.

The spelling of 1381146480 in words is "one billion, three hundred eighty-one million, one hundred forty-six thousand, four hundred eighty".