55046400 has 216 divisors, whose sum is σ = 188571264. Its totient is φ = 14131200.

The previous prime is 55046389. The next prime is 55046419. The reversal of 55046400 is 464055.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 902370 + ... + 902430.

Almost surely, 2^55046400 is an apocalyptic number.

55046400 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 55046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94285632).

55046400 is an abundant number, since it is smaller than the sum of its proper divisors (133524864).

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

55046400 is a wasteful number, since it uses less digits than its factorization.

55046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55046400 is about 7419.3261149514. The cubic root of 55046400 is about 380.4021596492.

It can be divided in two parts, 5 and 5046400, that added together give a palindrome (5046405).

The spelling of 55046400 in words is "fifty-five million, forty-six thousand, four hundred".