525876480 has 216 divisors, whose sum is σ = 1836656640. Its totient is φ = 138915840.

The previous prime is 525876473. The next prime is 525876497. The reversal of 525876480 is 84678525.

525876480 is a `hidden beast` number, since 5 + 2 + 587 + 64 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2200201 + ... + 2200439.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 2^525876480 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 525876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

525876480 is an abundant number, since it is smaller than the sum of its proper divisors (1310780160).

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

525876480 is a wasteful number, since it uses less digits than its factorization.

525876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 525876480 is about 22931.9968602824. The cubic root of 525876480 is about 807.1630060941.

The spelling of 525876480 in words is "five hundred twenty-five million, eight hundred seventy-six thousand, four hundred eighty".