533336400 has 420 divisors, whose sum is σ = 2016716160. Its totient is φ = 135302400.

The previous prime is 533336381. The next prime is 533336437. The reversal of 533336400 is 4633335.

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 9039571 + ... + 9039629.

Almost surely, 2^533336400 is an apocalyptic number.

533336400 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 533336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008358080).

533336400 is an abundant number, since it is smaller than the sum of its proper divisors (1483379760).

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

533336400 is a wasteful number, since it uses less digits than its factorization.

533336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 533336400 is about 23094.0771627705. The cubic root of 533336400 is about 810.9618204140.

Adding to 533336400 its reverse (4633335), we get a palindrome (537969735).

The spelling of 533336400 in words is "five hundred thirty-three million, three hundred thirty-six thousand, four hundred".