527408640 has 240 divisors, whose sum is σ = 1993573296. Its totient is φ = 127795200.

The previous prime is 527408633. The next prime is 527408641. The reversal of 527408640 is 46804725.

527408640 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 527408595 and 527408604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527408641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252400 + ... + 254480.

Almost surely, 2^527408640 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 527408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996786648).

527408640 is an abundant number, since it is smaller than the sum of its proper divisors (1466164656).

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

527408640 is a wasteful number, since it uses less digits than its factorization.

527408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2102 counting only the distinct ones).

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

The square root of 527408640 is about 22965.3791608151. The cubic root of 527408640 is about 807.9461454809.

The spelling of 527408640 in words is "five hundred twenty-seven million, four hundred eight thousand, six hundred forty".