525480000 has 280 divisors, whose sum is σ = 1809170880. Its totient is φ = 134400000.

The previous prime is 525479987. The next prime is 525480023. The reversal of 525480000 is 84525.

It is a super-2 number, since 2×525480000² = 552258460800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3479925 + ... + 3480075.

Almost surely, 2^525480000 is an apocalyptic number.

525480000 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 525480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904585440).

525480000 is an abundant number, since it is smaller than the sum of its proper divisors (1283690880).

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

525480000 is a wasteful number, since it uses less digits than its factorization.

525480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 525480000 is about 22923.3505404424. The cubic root of 525480000 is about 806.9601039165.

The spelling of 525480000 in words is "five hundred twenty-five million, four hundred eighty thousand".