467856 has 75 divisors (see below), whose sum is σ = 1429131. Its totient is φ = 147744.

The previous prime is 467833. The next prime is 467867. The reversal of 467856 is 658764.

It is a happy number.

The square root of 467856 is 684.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 467856.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24615 + ... + 24633.

467856 is a Friedman number, since it can be written as (76*(5+4))^(8-6), using all its digits and the basic arithmetic operations.

2⁴⁶⁷⁸⁵⁶ is an apocalyptic number.

467856 is the 684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467856

467856 is an abundant number, since it is smaller than the sum of its proper divisors (961275).

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

467856 is a wasteful number, since it uses less digits than its factorization.

467856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 467856 is about 77.6313969383.

Multiplying 467856 by its sum of digits (36), we get a square (16842816 = 4104²).

467856 divided by its sum of digits (36) gives a square (12996 = 114²).

The spelling of 467856 in words is "four hundred sixty-seven thousand, eight hundred fifty-six".