1471952768 has 256 divisors, whose sum is σ = 3701376000. Its totient is φ = 573726720.

The previous prime is 1471952761. The next prime is 1471952771. The reversal of 1471952768 is 8672591741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1471952761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24948323 + ... + 24948381.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^1471952768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1471952768 is an abundant number, since it is smaller than the sum of its proper divisors (2229423232).

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

1471952768 is a wasteful number, since it uses less digits than its factorization.

1471952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

The square root of 1471952768 is about 38366.0366470137. The cubic root of 1471952768 is about 1137.5346250057.

The spelling of 1471952768 in words is "one billion, four hundred seventy-one million, nine hundred fifty-two thousand, seven hundred sixty-eight".