525408 has 48 divisors (see below), whose sum is σ = 1488816. Its totient is φ = 161280.

The previous prime is 525397. The next prime is 525409. The reversal of 525408 is 804525.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (31017).

2⁵²⁵⁴⁰⁸ 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 525408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744408).

525408 is an abundant number, since it is smaller than the sum of its proper divisors (963408).

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

525408 is a wasteful number, since it uses less digits than its factorization.

525408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 525408 is about 724.8503293784. The cubic root of 525408 is about 80.6923246325.

It can be divided in two parts, 52 and 5408, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 525408 in words is "five hundred twenty-five thousand, four hundred eight".