533400 has 96 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 120960.

The previous prime is 533399. The next prime is 533413. The reversal of 533400 is 4335.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 533400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4137 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (19840).

2⁵³³⁴⁰⁰ is an apocalyptic number.

533400 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 533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

533400 is an abundant number, since it is smaller than the sum of its proper divisors (1371240).

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

533400 is a wasteful number, since it uses less digits than its factorization.

533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 533400 is about 730.3423854604. The cubic root of 533400 is about 81.0994054680.

Adding to 533400 its reverse (4335), we get a palindrome (537735).

The spelling of 533400 in words is "five hundred thirty-three thousand, four hundred".