529416 has 80 divisors (see below), whose sum is σ = 1597200. Its totient is φ = 163296.

The previous prime is 529411. The next prime is 529421. The reversal of 529416 is 614925.

It is an interprime number because it is at equal distance from previous prime (529411) and next prime (529421).

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2160) is a multiple of the sum of its prime factors (80).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 529416.

It is not an unprimeable number, because it can be changed into a prime (529411) by changing a digit.

529416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12291 + ... + 12333.

It is an arithmetic number, because the mean of its divisors is an integer number (19965).

529416 is a Friedman number, since it can be written as 9^6-45^(2*1), using all its digits and the basic arithmetic operations.

2⁵²⁹⁴¹⁶ 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 529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798600).

529416 is an abundant number, since it is smaller than the sum of its proper divisors (1067784).

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

529416 is a wasteful number, since it uses less digits than its factorization.

529416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 529416 is about 727.6097855307. The cubic root of 529416 is about 80.8969883923.

The spelling of 529416 in words is "five hundred twenty-nine thousand, four hundred sixteen".