526414720 has 192 divisors, whose sum is σ = 1415629440. Its totient is φ = 186900480.

The previous prime is 526414717. The next prime is 526414739. The reversal of 526414720 is 27414625.

It is a super-2 number, since 2×526414720² = 554224914865356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 23 ways as a sum of consecutive naturals, for example, 3352882 + ... + 3353038.

It is an arithmetic number, because the mean of its divisors is an integer number (7373070).

Almost surely, 2^526414720 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 526414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707814720).

526414720 is an abundant number, since it is smaller than the sum of its proper divisors (889214720).

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

526414720 is a wasteful number, since it uses less digits than its factorization.

526414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 526414720 is about 22943.7294265775. The cubic root of 526414720 is about 807.4382920828.

The spelling of 526414720 in words is "five hundred twenty-six million, four hundred fourteen thousand, seven hundred twenty".