525601440 has 576 divisors, whose sum is σ = 2316625920. Its totient is φ = 110315520.

The previous prime is 525601429. The next prime is 525601463. The reversal of 525601440 is 44106525.

525601440 is a `hidden beast` number, since 52 + 5 + 601 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751745 + ... + 2751935.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^525601440 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 525601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

525601440 is an abundant number, since it is smaller than the sum of its proper divisors (1791024480).

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

525601440 is a wasteful number, since it uses less digits than its factorization.

525601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 525601440 is about 22925.9992148652. Note that the first 3 decimals coincide. The cubic root of 525601440 is about 807.0222627597.

Adding to 525601440 its reverse (44106525), we get a palindrome (569707965).

The spelling of 525601440 in words is "five hundred twenty-five million, six hundred one thousand, four hundred forty".