527472000 has 640 divisors, whose sum is σ = 2194901280. Its totient is φ = 124416000.

The previous prime is 527471951. The next prime is 527472017. The reversal of 527472000 is 274725.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255982 + ... + 14256018.

Almost surely, 2^527472000 is an apocalyptic number.

527472000 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 527472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097450640).

527472000 is an abundant number, since it is smaller than the sum of its proper divisors (1667429280).

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

527472000 is a wasteful number, since it uses less digits than its factorization.

527472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 527472000 is about 22966.7585871407. The cubic root of 527472000 is about 807.9784982678.

The spelling of 527472000 in words is "five hundred twenty-seven million, four hundred seventy-two thousand".