532416 has 56 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 170752.

The previous prime is 532403. The next prime is 532417. The reversal of 532416 is 614235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 532392 and 532401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532417) 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, 8995 + ... + 9053.

2⁵³²⁴¹⁶ 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 532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

532416 is an abundant number, since it is smaller than the sum of its proper divisors (930624).

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

532416 is a wasteful number, since it uses less digits than its factorization.

532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 532416 is about 729.6684178447. The cubic root of 532416 is about 81.0495048697.

It can be divided in two parts, 5324 and 16, that multiplied together give a cube (85184 = 44³).

The spelling of 532416 in words is "five hundred thirty-two thousand, four hundred sixteen".