467456 has 40 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 209920.

The previous prime is 467447. The next prime is 467471. The reversal of 467456 is 654764.

467456 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×467456² = 437030223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (20160) is a multiple of the sum of its prime divisors (96).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5591 + ... + 5673.

2⁴⁶⁷⁴⁵⁶ 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 467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

467456 is an abundant number, since it is smaller than the sum of its proper divisors (563728).

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

467456 is an equidigital number, since it uses as much as digits as its factorization.

467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 467456 is about 683.7075398151. The cubic root of 467456 is about 77.6092666158.

The spelling of 467456 in words is "four hundred sixty-seven thousand, four hundred fifty-six".