52304000 has 128 divisors (see below), whose sum is σ = 148936320. Its totient is φ = 17894400.

The previous prime is 52303991. The next prime is 52304009. The reversal of 52304000 is 40325.

It is an interprime number because it is at equal distance from previous prime (52303991) and next prime (52304009).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (52304009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111767 + ... + 112233.

It is an arithmetic number, because the mean of its divisors is an integer number (1163565).

Almost surely, 2^52304000 is an apocalyptic number.

52304000 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 52304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468160).

52304000 is an abundant number, since it is smaller than the sum of its proper divisors (96632320).

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

52304000 is an equidigital number, since it uses as much as digits as its factorization.

52304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 52304000 is about 7232.1504409131. The cubic root of 52304000 is about 373.9770639942.

Adding to 52304000 its reverse (40325), we get a palindrome (52344325).

The spelling of 52304000 in words is "fifty-two million, three hundred four thousand".