471084768 has 384 divisors, whose sum is σ = 1754403840. Its totient is φ = 119439360.

The previous prime is 471084767. The next prime is 471084791. The reversal of 471084768 is 867480174.

It is a super-2 number, since 2×471084768² = 443841717283227648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471084763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4856496 + ... + 4856592.

It is an arithmetic number, because the mean of its divisors is an integer number (4568760).

Almost surely, 2^471084768 is an apocalyptic number.

471084768 is a gapful number since it is divisible by the number (48) 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 471084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877201920).

471084768 is an abundant number, since it is smaller than the sum of its proper divisors (1283319072).

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

471084768 is a wasteful number, since it uses less digits than its factorization.

471084768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 471084768 is about 21704.4872779801. The cubic root of 471084768 is about 778.0957096828.

It can be divided in two parts, 4710847 and 68, that added together give a triangular number (4710915 = T₃₀₆₉).

The spelling of 471084768 in words is "four hundred seventy-one million, eighty-four thousand, seven hundred sixty-eight".