55448400 has 360 divisors, whose sum is σ = 220860864. Its totient is φ = 11827200.

The previous prime is 55448389. The next prime is 55448431. The reversal of 55448400 is 484455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1352380 + ... + 1352420.

Almost surely, 2^55448400 is an apocalyptic number.

55448400 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 55448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110430432).

55448400 is an abundant number, since it is smaller than the sum of its proper divisors (165412464).

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

55448400 is a wasteful number, since it uses less digits than its factorization.

55448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 55448400 is about 7446.3682423044. The cubic root of 55448400 is about 381.3259313064.

The spelling of 55448400 in words is "fifty-five million, four hundred forty-eight thousand, four hundred".