1971445248 has 240 divisors, whose sum is σ = 6048172416. Its totient is φ = 617103360.

The previous prime is 1971445219. The next prime is 1971445261. The reversal of 1971445248 is 8425441791.

1971445248 is a `hidden beast` number, since 19 + 71 + 44 + 524 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5285190 + ... + 5285562.

Almost surely, 2^1971445248 is an apocalyptic number.

1971445248 is a gapful number since it is divisible by the number (18) 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 1971445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024086208).

1971445248 is an abundant number, since it is smaller than the sum of its proper divisors (4076727168).

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

1971445248 is a wasteful number, since it uses less digits than its factorization.

1971445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1971445248 is about 44400.9599896218. The cubic root of 1971445248 is about 1253.8961628877.

The spelling of 1971445248 in words is "one billion, nine hundred seventy-one million, four hundred forty-five thousand, two hundred forty-eight".