530072400 has 240 divisors, whose sum is σ = 1995497280. Its totient is φ = 118579200.

The previous prime is 530072381. The next prime is 530072401. The reversal of 530072400 is 4270035.

It is a happy number.

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

It is a super-3 number, since 3×530072400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530072401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170056 + ... + 173144.

It is an arithmetic number, because the mean of its divisors is an integer number (8314572).

Almost surely, 2^530072400 is an apocalyptic number.

530072400 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 530072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997748640).

530072400 is an abundant number, since it is smaller than the sum of its proper divisors (1465424880).

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

530072400 is a wasteful number, since it uses less digits than its factorization.

530072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 530072400 is about 23023.3012402653. The cubic root of 530072400 is about 809.3040814315.

The spelling of 530072400 in words is "five hundred thirty million, seventy-two thousand, four hundred".