5630400 has 252 divisors, whose sum is σ = 22110192. Its totient is φ = 1351680.

The previous prime is 5630381. The next prime is 5630411. The reversal of 5630400 is 40365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244789 + ... + 244811.

Almost surely, 2^5630400 is an apocalyptic number.

5630400 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 5630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055096).

5630400 is an abundant number, since it is smaller than the sum of its proper divisors (16479792).

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

5630400 is a wasteful number, since it uses less digits than its factorization.

5630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5630400 is about 2372.8463919942. The cubic root of 5630400 is about 177.9015573158.

Adding to 5630400 its reverse (40365), we get a palindrome (5670765).

The spelling of 5630400 in words is "five million, six hundred thirty thousand, four hundred".