529049472 has 192 divisors, whose sum is σ = 1689315840. Its totient is φ = 146119680.

The previous prime is 529049467. The next prime is 529049501. The reversal of 529049472 is 274940925.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 582843 + ... + 583749.

It is an arithmetic number, because the mean of its divisors is an integer number (8798520).

Almost surely, 2^529049472 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 529049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844657920).

529049472 is an abundant number, since it is smaller than the sum of its proper divisors (1160266368).

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

529049472 is a wasteful number, since it uses less digits than its factorization.

529049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 529049472 is about 23001.0754531174. The cubic root of 529049472 is about 808.7831507632.

The spelling of 529049472 in words is "five hundred twenty-nine million, forty-nine thousand, four hundred seventy-two".