525824640 has 384 divisors, whose sum is σ = 2037372480. Its totient is φ = 123863040.

The previous prime is 525824627. The next prime is 525824641. The reversal of 525824640 is 46428525.

It is a happy number.

525824640 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×525824640² = 552983104062259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 525824595 and 525824604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525824641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724384 + ... + 2724576.

Almost surely, 2^525824640 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 525824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018686240).

525824640 is an abundant number, since it is smaller than the sum of its proper divisors (1511547840).

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

525824640 is a wasteful number, since it uses less digits than its factorization.

525824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 525824640 is about 22930.8665339974. The cubic root of 525824640 is about 807.1364823083.

The spelling of 525824640 in words is "five hundred twenty-five million, eight hundred twenty-four thousand, six hundred forty".