533228400 has 240 divisors, whose sum is σ = 1921231200. Its totient is φ = 140451840.

The previous prime is 533228393. The next prime is 533228417. The reversal of 533228400 is 4822335.

533228400 is a `hidden beast` number, since 5 + 33 + 228 + 400 = 666.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047346 + ... + 1047854.

It is an arithmetic number, because the mean of its divisors is an integer number (8005130).

Almost surely, 2^533228400 is an apocalyptic number.

533228400 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 533228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960615600).

533228400 is an abundant number, since it is smaller than the sum of its proper divisors (1388002800).

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

533228400 is a wasteful number, since it uses less digits than its factorization.

533228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 533228400 is about 23091.7387825170. The cubic root of 533228400 is about 810.9070771105.

The spelling of 533228400 in words is "five hundred thirty-three million, two hundred twenty-eight thousand, four hundred".