1975380480 has 160 divisors (see below), whose sum is σ = 7016961600. Its totient is φ = 526749696.

The previous prime is 1975380401. The next prime is 1975380499. The reversal of 1975380480 is 840835791.

1975380480 is a `hidden beast` number, since 1 + 97 + 5 + 3 + 80 + 480 = 666.

1975380480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54831 + ... + 83409.

It is an arithmetic number, because the mean of its divisors is an integer number (43856010).

Almost surely, 2^1975380480 is an apocalyptic number.

1975380480 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 1975380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508480800).

1975380480 is an abundant number, since it is smaller than the sum of its proper divisors (5041581120).

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

1975380480 is an equidigital number, since it uses as much as digits as its factorization.

1975380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28611 (or 28589 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1975380480 is about 44445.2526148744. The cubic root of 1975380480 is about 1254.7299154784.

The spelling of 1975380480 in words is "one billion, nine hundred seventy-five million, three hundred eighty thousand, four hundred eighty".