471408 has 80 divisors (see below), whose sum is σ = 1476096. Its totient is φ = 126720.

The previous prime is 471407. The next prime is 471439. The reversal of 471408 is 804174.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7698 + ... + 7758.

2⁴⁷¹⁴⁰⁸ is an apocalyptic number.

471408 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 471408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738048).

471408 is an abundant number, since it is smaller than the sum of its proper divisors (1004688).

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

471408 is a wasteful number, since it uses less digits than its factorization.

471408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 471408 is about 686.5915816554. The cubic root of 471408 is about 77.8273630904.

The spelling of 471408 in words is "four hundred seventy-one thousand, four hundred eight".