530256000 has 128 divisors (see below), whose sum is σ = 1757957760. Its totient is φ = 141388800.

The previous prime is 530255987. The next prime is 530256017. The reversal of 530256000 is 652035.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42477 + ... + 53523.

It is an arithmetic number, because the mean of its divisors is an integer number (13734045).

Almost surely, 2^530256000 is an apocalyptic number.

530256000 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 530256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878978880).

530256000 is an abundant number, since it is smaller than the sum of its proper divisors (1227701760).

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

530256000 is a wasteful number, since it uses less digits than its factorization.

530256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11079 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 530256000 is about 23027.2881599202. The cubic root of 530256000 is about 809.3975095979.

The spelling of 530256000 in words is "five hundred thirty million, two hundred fifty-six thousand".