55578400 has 36 divisors (see below), whose sum is σ = 135682722. Its totient is φ = 22231040.

The previous prime is 55578361. The next prime is 55578407. The reversal of 55578400 is 487555.

It can be written as a sum of positive squares in 3 ways, for example, as 42876304 + 12702096 = 6548^2 + 3564^2 .

It is not an unprimeable number, because it can be changed into a prime (55578407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33937 + ... + 35536.

Almost surely, 2^55578400 is an apocalyptic number.

55578400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55578400 is an abundant number, since it is smaller than the sum of its proper divisors (80104322).

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

55578400 is a wasteful number, since it uses less digits than its factorization.

55578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69493 (or 69480 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 55578400 is about 7455.0922194162. The cubic root of 55578400 is about 381.6237077392.

The spelling of 55578400 in words is "fifty-five million, five hundred seventy-eight thousand, four hundred".