533050400 has 72 divisors (see below), whose sum is σ = 1306674180. Its totient is φ = 212341760.

The previous prime is 533050393. The next prime is 533050409. The reversal of 533050400 is 4050335.

It can be written as a sum of positive squares in 6 ways, for example, as 73891216 + 459159184 = 8596^2 + 21428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (533050409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213962 + ... + 216438.

Almost surely, 2^533050400 is an apocalyptic number.

533050400 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 533050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653337090).

533050400 is an abundant number, since it is smaller than the sum of its proper divisors (773623780).

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

533050400 is a wasteful number, since it uses less digits than its factorization.

533050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 533050400 is about 23087.8842685942. The cubic root of 533050400 is about 810.8168359032.

The spelling of 533050400 in words is "five hundred thirty-three million, fifty thousand, four hundred".