533306400 has 144 divisors (see below), whose sum is σ = 1893816288. Its totient is φ = 129280000.

The previous prime is 533306387. The next prime is 533306413. The reversal of 533306400 is 4603335.

It is an interprime number because it is at equal distance from previous prime (533306387) and next prime (533306413).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16300 + ... + 36500.

It is an arithmetic number, because the mean of its divisors is an integer number (13151502).

Almost surely, 2^533306400 is an apocalyptic number.

533306400 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 533306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946908144).

533306400 is an abundant number, since it is smaller than the sum of its proper divisors (1360509888).

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

533306400 is a wasteful number, since it uses less digits than its factorization.

533306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20235 (or 20222 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 533306400 is about 23093.4276364510. The cubic root of 533306400 is about 810.9466146822.

Adding to 533306400 its reverse (4603335), we get a palindrome (537909735).

The spelling of 533306400 in words is "five hundred thirty-three million, three hundred six thousand, four hundred".