526174272 has 224 divisors, whose sum is σ = 1698345600. Its totient is φ = 158754816.

The previous prime is 526174261. The next prime is 526174357. The reversal of 526174272 is 272471625.

It is a happy number.

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

Its product of digits (47040) is a multiple of the sum of its prime factors (490).

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 31 ways as a sum of consecutive naturals, for example, 1325178 + ... + 1325574.

It is an arithmetic number, because the mean of its divisors is an integer number (7581900).

Almost surely, 2^526174272 is an apocalyptic number.

526174272 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 526174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849172800).

526174272 is an abundant number, since it is smaller than the sum of its proper divisors (1172171328).

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

526174272 is a wasteful number, since it uses less digits than its factorization.

526174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 526174272 is about 22938.4888778664. The cubic root of 526174272 is about 807.3153367509.

The spelling of 526174272 in words is "five hundred twenty-six million, one hundred seventy-four thousand, two hundred seventy-two".