525732480 has 768 divisors, whose sum is σ = 2405894400. Its totient is φ = 102629376.

The previous prime is 525732457. The next prime is 525732481. The reversal of 525732480 is 84237525.

525732480 is a `hidden beast` number, since 5 + 2 + 573 + 2 + 4 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (525732481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8910691 + ... + 8910749.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^525732480 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 525732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

525732480 is an abundant number, since it is smaller than the sum of its proper divisors (1880161920).

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

525732480 is a wasteful number, since it uses less digits than its factorization.

525732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 525732480 is about 22928.8569274615. The cubic root of 525732480 is about 807.0893246067.

The spelling of 525732480 in words is "five hundred twenty-five million, seven hundred thirty-two thousand, four hundred eighty".