526464 has 48 divisors (see below), whose sum is σ = 1518270. Its totient is φ = 175104.

The previous prime is 526459. The next prime is 526483. The reversal of 526464 is 464625.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 166464 = 600^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

526464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 924 + ... + 1380.

2⁵²⁶⁴⁶⁴ 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 526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759135).

526464 is an abundant number, since it is smaller than the sum of its proper divisors (991806).

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

526464 is a wasteful number, since it uses less digits than its factorization.

526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 526464 is about 725.5783899759. The cubic root of 526464 is about 80.7463487248.

It can be divided in two parts, 52646 and 4, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 526464 in words is "five hundred twenty-six thousand, four hundred sixty-four".