530218080 has 288 divisors, whose sum is σ = 2158700544. Its totient is φ = 115872768.

The previous prime is 530218067. The next prime is 530218093. The reversal of 530218080 is 80812035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (530218067) and next prime (530218093).

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

It is a super-2 number, since 2×530218080² = 562262424717772800, which contains 22 as substring.

It is a congruent number.

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, 230697 + ... + 232983.

It is an arithmetic number, because the mean of its divisors is an integer number (7495488).

Almost surely, 2^530218080 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 530218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079350272).

530218080 is an abundant number, since it is smaller than the sum of its proper divisors (1628482464).

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

530218080 is a wasteful number, since it uses less digits than its factorization.

530218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 530218080 is about 23026.4647742549. The cubic root of 530218080 is about 809.3782150904.

The spelling of 530218080 in words is "five hundred thirty million, two hundred eighteen thousand, eighty".