530950400 has 108 divisors (see below), whose sum is σ = 1371703872. Its totient is φ = 203089920.

The previous prime is 530950397. The next prime is 530950403. The reversal of 530950400 is 4059035.

It is an interprime number because it is at equal distance from previous prime (530950397) and next prime (530950403).

It is a self number, because there is not a number n which added to its sum of digits gives 530950400.

It is not an unprimeable number, because it can be changed into a prime (530950403) 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 11 ways as a sum of consecutive naturals, for example, 145397 + ... + 149003.

Almost surely, 2^530950400 is an apocalyptic number.

530950400 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 530950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685851936).

530950400 is an abundant number, since it is smaller than the sum of its proper divisors (840753472).

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

530950400 is a wasteful number, since it uses less digits than its factorization.

530950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 530950400 is about 23042.3609901416. The cubic root of 530950400 is about 809.7506726397.

The spelling of 530950400 in words is "five hundred thirty million, nine hundred fifty thousand, four hundred".