1471838256 has 320 divisors, whose sum is σ = 5018726400. Its totient is φ = 404352000.

The previous prime is 1471838237. The next prime is 1471838261. The reversal of 1471838256 is 6528381741.

1471838256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14572606 + ... + 14572706.

It is an arithmetic number, because the mean of its divisors is an integer number (15683520).

Almost surely, 2^1471838256 is an apocalyptic number.

1471838256 is a gapful number since it is divisible by the number (16) 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 1471838256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509363200).

1471838256 is an abundant number, since it is smaller than the sum of its proper divisors (3546888144).

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

1471838256 is a wasteful number, since it uses less digits than its factorization.

1471838256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

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

The square root of 1471838256 is about 38364.5442563834. The cubic root of 1471838256 is about 1137.5051257025.

It can be divided in two parts, 147 and 1838256, that added together give a triangular number (1838403 = T₁₉₁₇).

The spelling of 1471838256 in words is "one billion, four hundred seventy-one million, eight hundred thirty-eight thousand, two hundred fifty-six".