55546400 has 216 divisors, whose sum is σ = 171434340. Its totient is φ = 17418240.

The previous prime is 55546399. The next prime is 55546409. The reversal of 55546400 is 464555.

It can be written as a sum of positive squares in 6 ways, for example, as 15147664 + 40398736 = 3892^2 + 6356^2 .

It is not an unprimeable number, because it can be changed into a prime (55546409) by changing a digit.

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, 509546 + ... + 509654.

Almost surely, 2^55546400 is an apocalyptic number.

55546400 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 55546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85717170).

55546400 is an abundant number, since it is smaller than the sum of its proper divisors (115887940).

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

55546400 is a wasteful number, since it uses less digits than its factorization.

55546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 55546400 is about 7452.9457263555. The cubic root of 55546400 is about 381.5504520432.

The spelling of 55546400 in words is "fifty-five million, five hundred forty-six thousand, four hundred".