55034400 has 144 divisors (see below), whose sum is σ = 187113024. Its totient is φ = 14023680.

The previous prime is 55034387. The next prime is 55034411. The reversal of 55034400 is 443055.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54702 + ... + 55698.

It is an arithmetic number, because the mean of its divisors is an integer number (1299396).

Almost surely, 2^55034400 is an apocalyptic number.

55034400 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 55034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93556512).

55034400 is an abundant number, since it is smaller than the sum of its proper divisors (132078624).

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

55034400 is a wasteful number, since it uses less digits than its factorization.

55034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 55034400 is about 7418.5173720899. The cubic root of 55034400 is about 380.3745153488.

Adding to 55034400 its reverse (443055), we get a palindrome (55477455).

The spelling of 55034400 in words is "fifty-five million, thirty-four thousand, four hundred".