471823968 has 384 divisors, whose sum is σ = 1672151040. Its totient is φ = 112896000.

The previous prime is 471823951. The next prime is 471823991. The reversal of 471823968 is 869328174.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (580608) is a multiple of the sum of its prime factors (162).

It is a congruent number.

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, 6645373 + ... + 6645443.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^471823968 is an apocalyptic number.

471823968 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 471823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).

471823968 is an abundant number, since it is smaller than the sum of its proper divisors (1200327072).

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

471823968 is a wasteful number, since it uses less digits than its factorization.

471823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 471823968 is about 21721.5093398226. The cubic root of 471823968 is about 778.5024784916.

The spelling of 471823968 in words is "four hundred seventy-one million, eight hundred twenty-three thousand, nine hundred sixty-eight".