471006448 has 80 divisors (see below), whose sum is σ = 1031362560. Its totient is φ = 206496000.

The previous prime is 471006427. The next prime is 471006457. The reversal of 471006448 is 844600174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983073 + ... + 983551.

It is an arithmetic number, because the mean of its divisors is an integer number (12892032).

Almost surely, 2^471006448 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 471006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515681280).

471006448 is an abundant number, since it is smaller than the sum of its proper divisors (560356112).

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

471006448 is a wasteful number, since it uses less digits than its factorization.

471006448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 471006448 is about 21702.6829677807. The cubic root of 471006448 is about 778.0525866345.

The spelling of 471006448 in words is "four hundred seventy-one million, six thousand, four hundred forty-eight".