525484800 has 216 divisors, whose sum is σ = 1927532880. Its totient is φ = 140083200.

The previous prime is 525484787. The next prime is 525484801. The reversal of 525484800 is 8484525.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×525484800² = 552268550062080000, which contains 22 as substring.

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 (525484801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171280 + ... + 174320.

Almost surely, 2^525484800 is an apocalyptic number.

525484800 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 525484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963766440).

525484800 is an abundant number, since it is smaller than the sum of its proper divisors (1402048080).

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

525484800 is a wasteful number, since it uses less digits than its factorization.

525484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 525484800 is about 22923.4552369402. The cubic root of 525484800 is about 806.9625609696.

The spelling of 525484800 in words is "five hundred twenty-five million, four hundred eighty-four thousand, eight hundred".