1975480320 has 416 divisors, whose sum is σ = 7171384320. Its totient is φ = 460062720.

The previous prime is 1975480313. The next prime is 1975480333. The reversal of 1975480320 is 230845791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25006041 + ... + 25006119.

Almost surely, 2^1975480320 is an apocalyptic number.

1975480320 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 1975480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585692160).

1975480320 is an abundant number, since it is smaller than the sum of its proper divisors (5195904000).

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

1975480320 is a wasteful number, since it uses less digits than its factorization.

1975480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1975480320 is about 44446.3757802591. The cubic root of 1975480320 is about 1254.7510540432.

The spelling of 1975480320 in words is "one billion, nine hundred seventy-five million, four hundred eighty thousand, three hundred twenty".