527640480 has 288 divisors, whose sum is σ = 1918582848. Its totient is φ = 136857600.

The previous prime is 527640479. The next prime is 527640497. The reversal of 527640480 is 84046725.

527640480 is a `hidden beast` number, since 5 + 2 + 7 + 640 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×527640480² = 556808952269260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1593915 + ... + 1594245.

It is an arithmetic number, because the mean of its divisors is an integer number (6661746).

Almost surely, 2^527640480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959291424).

527640480 is an abundant number, since it is smaller than the sum of its proper divisors (1390942368).

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

527640480 is a wasteful number, since it uses less digits than its factorization.

527640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 527640480 is about 22970.4262041434. The cubic root of 527640480 is about 808.0645146670.

The spelling of 527640480 in words is "five hundred twenty-seven million, six hundred forty thousand, four hundred eighty".