471516456 has 96 divisors (see below), whose sum is σ = 1231856640. Its totient is φ = 150377472.

The previous prime is 471516433. The next prime is 471516497. The reversal of 471516456 is 654615174.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3712665 + ... + 3712791.

It is an arithmetic number, because the mean of its divisors is an integer number (12831840).

Almost surely, 2^471516456 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 471516456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615928320).

471516456 is an abundant number, since it is smaller than the sum of its proper divisors (760340184).

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

471516456 is a wasteful number, since it uses less digits than its factorization.

471516456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 282 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 471516456 is about 21714.4296724551. The cubic root of 471516456 is about 778.3333116704. Note that the first 4 decimals are identical.

The spelling of 471516456 in words is "four hundred seventy-one million, five hundred sixteen thousand, four hundred fifty-six".