471585408 has 192 divisors, whose sum is σ = 1481872320. Its totient is φ = 132464640.

The previous prime is 471585391. The next prime is 471585419. The reversal of 471585408 is 804585174.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 471585408.

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, 1335760 + ... + 1336112.

It is an arithmetic number, because the mean of its divisors is an integer number (7718085).

Almost surely, 2^471585408 is an apocalyptic number.

471585408 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 471585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740936160).

471585408 is an abundant number, since it is smaller than the sum of its proper divisors (1010286912).

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

471585408 is a wasteful number, since it uses less digits than its factorization.

471585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 471585408 is about 21716.0173144156. The cubic root of 471585408 is about 778.3712495635.

The spelling of 471585408 in words is "four hundred seventy-one million, five hundred eighty-five thousand, four hundred eight".