55794400 has 72 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 22056960.

The previous prime is 55794397. The next prime is 55794419. The reversal of 55794400 is 449755.

55794400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55794400² = 6226030142720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77241 + ... + 77959.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^55794400 is an apocalyptic number.

55794400 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 55794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

55794400 is an abundant number, since it is smaller than the sum of its proper divisors (82009280).

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

55794400 is a wasteful number, since it uses less digits than its factorization.

55794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 55794400 is about 7469.5649137015. The cubic root of 55794400 is about 382.1174496998.

The spelling of 55794400 in words is "fifty-five million, seven hundred ninety-four thousand, four hundred".