1371876480 has 512 divisors, whose sum is σ = 5428684800. Its totient is φ = 325140480.

The previous prime is 1371876463. The next prime is 1371876481. The reversal of 1371876480 is 846781731.

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

It is not an unprimeable number, because it can be changed into a prime (1371876481) 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 63 ways as a sum of consecutive naturals, for example, 6963742 + ... + 6963938.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^1371876480 is an apocalyptic number.

1371876480 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 1371876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1371876480 is an abundant number, since it is smaller than the sum of its proper divisors (4056808320).

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

1371876480 is a wasteful number, since it uses less digits than its factorization.

1371876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1371876480 is about 37038.8509540995. The cubic root of 1371876480 is about 1111.1473891562.

The spelling of 1371876480 in words is "one billion, three hundred seventy-one million, eight hundred seventy-six thousand, four hundred eighty".