55478400 has 96 divisors (see below), whose sum is σ = 182763600. Its totient is φ = 14791680.

The previous prime is 55478393. The next prime is 55478407. The reversal of 55478400 is 487455.

It is an interprime number because it is at equal distance from previous prime (55478393) and next prime (55478407).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55478407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6711 + ... + 12489.

Almost surely, 2^55478400 is an apocalyptic number.

55478400 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 55478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91381800).

55478400 is an abundant number, since it is smaller than the sum of its proper divisors (127285200).

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

55478400 is a wasteful number, since it uses less digits than its factorization.

55478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 55478400 is about 7448.3823747173. The cubic root of 55478400 is about 381.3946902211.

The spelling of 55478400 in words is "fifty-five million, four hundred seventy-eight thousand, four hundred".