527416 has 8 divisors (see below), whose sum is σ = 988920. Its totient is φ = 263704.

The previous prime is 527411. The next prime is 527419. The reversal of 527416 is 614725.

527416 = 174² + 175² + ... + 189².

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32956 + ... + 32971.

It is an arithmetic number, because the mean of its divisors is an integer number (123615).

2⁵²⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

527416 is a deficient number, since it is larger than the sum of its proper divisors (461504).

527416 is a wasteful number, since it uses less digits than its factorization.

527416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65933 (or 65929 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 527416 is about 726.2341220295. The cubic root of 527416 is about 80.7949903766.

The spelling of 527416 in words is "five hundred twenty-seven thousand, four hundred sixteen".