525940800 has 336 divisors, whose sum is σ = 2152814592. Its totient is φ = 109209600.

The previous prime is 525940787. The next prime is 525940801. The reversal of 525940800 is 8049525.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×525940800³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (525940801) 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 47 ways as a sum of consecutive naturals, for example, 368889 + ... + 370311.

Almost surely, 2^525940800 is an apocalyptic number.

525940800 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 525940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076407296).

525940800 is an abundant number, since it is smaller than the sum of its proper divisors (1626873792).

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

525940800 is a wasteful number, since it uses less digits than its factorization.

525940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 525940800 is about 22933.3992247115. The cubic root of 525940800 is about 807.1959128127.

The spelling of 525940800 in words is "five hundred twenty-five million, nine hundred forty thousand, eight hundred".