5646400 has 42 divisors (see below), whose sum is σ = 13897610. Its totient is φ = 2257920.

The previous prime is 5646391. The next prime is 5646409. The reversal of 5646400 is 46465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5646391) and next prime (5646409).

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 5645376 = 32^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5646409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165 + ... + 3364.

Almost surely, 2^5646400 is an apocalyptic number.

5646400 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 5646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948805).

5646400 is an abundant number, since it is smaller than the sum of its proper divisors (8251210).

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

5646400 is a wasteful number, since it uses less digits than its factorization.

5646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5646400 is about 2376.2154784447. The cubic root of 5646400 is about 178.0699132006.

The spelling of 5646400 in words is "five million, six hundred forty-six thousand, four hundred".