5304000 has 224 divisors, whose sum is σ = 19970496. Its totient is φ = 1228800.

The previous prime is 5303999. The next prime is 5304001. The reversal of 5304000 is 4035.

It is an interprime number because it is at equal distance from previous prime (5303999) and next prime (5304001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5304001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311992 + ... + 312008.

It is an arithmetic number, because the mean of its divisors is an integer number (89154).

Almost surely, 2^5304000 is an apocalyptic number.

5304000 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 5304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248).

5304000 is an abundant number, since it is smaller than the sum of its proper divisors (14666496).

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

5304000 is a wasteful number, since it uses less digits than its factorization.

5304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5304000 is about 2303.0414672776. The cubic root of 5304000 is about 174.3951910690.

Adding to 5304000 its reverse (4035), we get a palindrome (5308035).

The spelling of 5304000 in words is "five million, three hundred four thousand".