5330400 has 72 divisors (see below), whose sum is σ = 17358264. Its totient is φ = 1420800.

The previous prime is 5330399. The next prime is 5330443. The reversal of 5330400 is 40335.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5330400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (241087).

Almost surely, 2^5330400 is an apocalyptic number.

5330400 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 5330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679132).

5330400 is an abundant number, since it is smaller than the sum of its proper divisors (12027864).

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

5330400 is a wasteful number, since it uses less digits than its factorization.

5330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 5330400 is about 2308.7659041141. The cubic root of 5330400 is about 174.6840557894.

Adding to 5330400 its reverse (40335), we get a palindrome (5370735).

The spelling of 5330400 in words is "five million, three hundred thirty thousand, four hundred".