55814400 has 432 divisors, whose sum is σ = 228110400. Its totient is φ = 13271040.

The previous prime is 55814393. The next prime is 55814401. The reversal of 55814400 is 441855.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55814401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937591 + ... + 2937609.

Almost surely, 2^55814400 is an apocalyptic number.

55814400 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 55814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

55814400 is an abundant number, since it is smaller than the sum of its proper divisors (172296000).

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

55814400 is a wasteful number, since it uses less digits than its factorization.

55814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55814400 is about 7470.9035598112. The cubic root of 55814400 is about 382.1631020473.

The spelling of 55814400 in words is "fifty-five million, eight hundred fourteen thousand, four hundred".