530841600 has 285 divisors, whose sum is σ = 1966600537. Its totient is φ = 141557760.

The previous prime is 530841539. The next prime is 530841629. The reversal of 530841600 is 6148035.

The square root of 530841600 is 23040.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (2!)¹⁰.

530841600 is a `hidden beast` number, since 53 + 0 + 8 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 339738624 = 13824^2 + 18432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 106168318 + ... + 106168322.

Almost surely, 2^530841600 is an apocalyptic number.

530841600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

530841600 is the 23040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530841600

530841600 is an abundant number, since it is smaller than the sum of its proper divisors (1435758937).

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

530841600 is an frugal number, since it uses more digits than its factorization.

530841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 530841600 is about 809.6953586897.

Multiplying 530841600 by its product of nonzero digits (2880), we get a cube (1528823808000 = 11520³).

Adding to 530841600 its reverse (6148035), we get a palindrome (536989635).

It can be divided in two parts, 530841 and 600, that added together give a 12-th power (531441 = 3¹²).

The spelling of 530841600 in words is "five hundred thirty million, eight hundred forty-one thousand, six hundred".