531468 has 96 divisors (see below), whose sum is σ = 1702400. Its totient is φ = 139968.

The previous prime is 531457. The next prime is 531481. The reversal of 531468 is 864135.

531468 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

531468 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11 and base 14.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14346 + ... + 14382.

531468 is a Friedman number, since it can be written as (5+4)^6+3*(8+1), using all its digits and the basic arithmetic operations.

2⁵³¹⁴⁶⁸ 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 531468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851200).

531468 is an abundant number, since it is smaller than the sum of its proper divisors (1170932).

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

531468 is a wasteful number, since it uses less digits than its factorization.

531468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 531468 is about 729.0185182833. The cubic root of 531468 is about 81.0013717189.

Subtracting from 531468 its sum of digits (27), we obtain a 12-th power (531441 = 3¹²).

It can be divided in two parts, 531 and 468, that added together give a palindrome (999).

The spelling of 531468 in words is "five hundred thirty-one thousand, four hundred sixty-eight".