536303300 has 72 divisors (see below), whose sum is σ = 1266517896. Its totient is φ = 195932160.

The previous prime is 536303297. The next prime is 536303303. The reversal of 536303300 is 3303635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (536303297) and next prime (536303303).

It can be written as a sum of positive squares in 12 ways, for example, as 372258436 + 164044864 = 19294^2 + 12808^2 .

It is not an unprimeable number, because it can be changed into a prime (536303303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123974 + ... + 128226.

Almost surely, 2^536303300 is an apocalyptic number.

536303300 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 536303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633258948).

536303300 is an abundant number, since it is smaller than the sum of its proper divisors (730214596).

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

536303300 is a wasteful number, since it uses less digits than its factorization.

536303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 536303300 is about 23158.2231615467. The cubic root of 536303300 is about 812.4628085540.

Adding to 536303300 its reverse (3303635), we get a palindrome (539606935).

The spelling of 536303300 in words is "five hundred thirty-six million, three hundred three thousand, three hundred".