525014400 has 192 divisors, whose sum is σ = 1831556880. Its totient is φ = 131727360.

The previous prime is 525014387. The next prime is 525014401. The reversal of 525014400 is 4410525.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525014401) 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 23 ways as a sum of consecutive naturals, for example, 161592 + ... + 164808.

Almost surely, 2^525014400 is an apocalyptic number.

525014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915778440).

525014400 is an abundant number, since it is smaller than the sum of its proper divisors (1306542480).

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

525014400 is a wasteful number, since it uses less digits than its factorization.

525014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 525014400 is about 22913.1927063864. The cubic root of 525014400 is about 806.7216986186.

Adding to 525014400 its reverse (4410525), we get a palindrome (529424925).

The spelling of 525014400 in words is "five hundred twenty-five million, fourteen thousand, four hundred".