526416 has 40 divisors (see below), whose sum is σ = 1485024. Its totient is φ = 159360.

The previous prime is 526397. The next prime is 526423. The reversal of 526416 is 614625.

It is a super-2 number, since 2×526416² = 554227610112, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 1026.

2⁵²⁶⁴¹⁶ 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 526416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742512).

526416 is an abundant number, since it is smaller than the sum of its proper divisors (958608).

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

526416 is a wasteful number, since it uses less digits than its factorization.

526416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 526416 is about 725.5453121618. The cubic root of 526416 is about 80.7438946523.

Subtracting 526416 from its reverse (614625), we obtain a square (88209 = 297²).

The spelling of 526416 in words is "five hundred twenty-six thousand, four hundred sixteen".