527303280 has 320 divisors, whose sum is σ = 2035584000. Its totient is φ = 110149632.

The previous prime is 527303269. The next prime is 527303321. The reversal of 527303280 is 82303725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056471 + ... + 1056969.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^527303280 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 527303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792000).

527303280 is an abundant number, since it is smaller than the sum of its proper divisors (1508280720).

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

527303280 is a wasteful number, since it uses less digits than its factorization.

527303280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 527303280 is about 22963.0851585757. The cubic root of 527303280 is about 807.8923409806.

The spelling of 527303280 in words is "five hundred twenty-seven million, three hundred three thousand, two hundred eighty".