533399400 has 144 divisors (see below), whose sum is σ = 1839977100. Its totient is φ = 138378240.

The previous prime is 533399333. The next prime is 533399413. The reversal of 533399400 is 4993335.

It is a happy number.

533399400 is a `hidden beast` number, since 533 + 39 + 94 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 350663076 + 182736324 = 18726^2 + 13518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62596 + ... + 70604.

Almost surely, 2^533399400 is an apocalyptic number.

533399400 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 533399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919988550).

533399400 is an abundant number, since it is smaller than the sum of its proper divisors (1306577700).

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

533399400 is a wasteful number, since it uses less digits than its factorization.

533399400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 533399400 is about 23095.4411085824. The cubic root of 533399400 is about 810.9937505948.

The spelling of 533399400 in words is "five hundred thirty-three million, three hundred ninety-nine thousand, four hundred".