1380894480 has 300 divisors, whose sum is σ = 5580362700. Its totient is φ = 315560448.

The previous prime is 1380894413. The next prime is 1380894511. The reversal of 1380894480 is 844980831.

1380894480 is a `hidden beast` number, since 1 + 3 + 80 + 8 + 94 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206324496 + 1174569984 = 14364^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 315346 + ... + 319694.

It is an arithmetic number, because the mean of its divisors is an integer number (18601209).

Almost surely, 2^1380894480 is an apocalyptic number.

1380894480 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 1380894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790181350).

1380894480 is an abundant number, since it is smaller than the sum of its proper divisors (4199468220).

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

1380894480 is a wasteful number, since it uses less digits than its factorization.

1380894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1380894480 is about 37160.3885878498. The cubic root of 1380894480 is about 1113.5767747460.

The spelling of 1380894480 in words is "one billion, three hundred eighty million, eight hundred ninety-four thousand, four hundred eighty".