525452928 has 256 divisors, whose sum is σ = 1875363840. Its totient is φ = 125890560.

The previous prime is 525452869. The next prime is 525452929. The reversal of 525452928 is 829254525.

It is a super-2 number, since 2×525452928² = 552201559087546368, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 525452928.

It is not an unprimeable number, because it can be changed into a prime (525452929) by changing a digit.

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, 383701 + ... + 385067.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^525452928 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 525452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

525452928 is an abundant number, since it is smaller than the sum of its proper divisors (1349910912).

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

525452928 is a wasteful number, since it uses less digits than its factorization.

525452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 525452928 is about 22922.7600432409. The cubic root of 525452928 is about 806.9462458571.

The spelling of 525452928 in words is "five hundred twenty-five million, four hundred fifty-two thousand, nine hundred twenty-eight".