55254400 has 96 divisors (see below), whose sum is σ = 141151680. Its totient is φ = 21350400.

The previous prime is 55254391. The next prime is 55254443. The reversal of 55254400 is 445255.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 98922 + ... + 99478.

It is an arithmetic number, because the mean of its divisors is an integer number (1470330).

Almost surely, 2^55254400 is an apocalyptic number.

55254400 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 55254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70575840).

55254400 is an abundant number, since it is smaller than the sum of its proper divisors (85897280).

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

55254400 is a wasteful number, since it uses less digits than its factorization.

55254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 55254400 is about 7433.3303437961. The cubic root of 55254400 is about 380.8806904778.

Adding to 55254400 its reverse (445255), we get a palindrome (55699655).

The spelling of 55254400 in words is "fifty-five million, two hundred fifty-four thousand, four hundred".