471416 has 24 divisors (see below), whose sum is σ = 973560. Its totient is φ = 213840.

The previous prime is 471407. The next prime is 471439. The reversal of 471416 is 614174.

471416 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 471391 and 471400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 725 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (40565).

2⁴⁷¹⁴¹⁶ 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 471416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486780).

471416 is an abundant number, since it is smaller than the sum of its proper divisors (502144).

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

471416 is a wasteful number, since it uses less digits than its factorization.

471416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 471416 is about 686.5974075104. The cubic root of 471416 is about 77.8278033427.

The spelling of 471416 in words is "four hundred seventy-one thousand, four hundred sixteen".