526408272 has 240 divisors, whose sum is σ = 1681225728. Its totient is φ = 152616960.

The previous prime is 526408249. The next prime is 526408301. The reversal of 526408272 is 272804625.

526408272 is a `hidden beast` number, since 5 + 2 + 640 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2727408 + ... + 2727600.

Almost surely, 2^526408272 is an apocalyptic number.

526408272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526408272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840612864).

526408272 is an abundant number, since it is smaller than the sum of its proper divisors (1154817456).

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

526408272 is a wasteful number, since it uses less digits than its factorization.

526408272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 526408272 is about 22943.5889084511. The cubic root of 526408272 is about 807.4349953263.

The spelling of 526408272 in words is "five hundred twenty-six million, four hundred eight thousand, two hundred seventy-two".