533030400 has 360 divisors, whose sum is σ = 2183376624. Its totient is φ = 121651200.

The previous prime is 533030369. The next prime is 533030401. The reversal of 533030400 is 4030335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533030401) 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 35 ways as a sum of consecutive naturals, for example, 806070 + ... + 806730.

Almost surely, 2^533030400 is an apocalyptic number.

533030400 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 533030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091688312).

533030400 is an abundant number, since it is smaller than the sum of its proper divisors (1650346224).

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

533030400 is a wasteful number, since it uses less digits than its factorization.

533030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 533030400 is about 23087.4511369272. The cubic root of 533030400 is about 810.8066951863.

Adding to 533030400 its reverse (4030335), we get a palindrome (537060735).

The spelling of 533030400 in words is "five hundred thirty-three million, thirty thousand, four hundred".