5654400 has 192 divisors, whose sum is σ = 20236800. Its totient is φ = 1382400.

The previous prime is 5654393. The next prime is 5654417. The reversal of 5654400 is 44565.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182385 + ... + 182415.

It is an arithmetic number, because the mean of its divisors is an integer number (105400).

Almost surely, 2^5654400 is an apocalyptic number.

5654400 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 5654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118400).

5654400 is an abundant number, since it is smaller than the sum of its proper divisors (14582400).

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

5654400 is a wasteful number, since it uses less digits than its factorization.

5654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5654400 is about 2377.8982316323. The cubic root of 5654400 is about 178.1539718957.

Adding to 5654400 its reverse (44565), we get a palindrome (5698965).

The spelling of 5654400 in words is "five million, six hundred fifty-four thousand, four hundred".