54454400 has 384 divisors, whose sum is σ = 191237760. Its totient is φ = 14745600.

The previous prime is 54454339. The next prime is 54454403. The reversal of 54454400 is 445445.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 54454400.

It is not an unprimeable number, because it can be changed into a prime (54454403) 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, 3203192 + ... + 3203208.

It is an arithmetic number, because the mean of its divisors is an integer number (498015).

Almost surely, 2^54454400 is an apocalyptic number.

54454400 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 54454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

54454400 is an abundant number, since it is smaller than the sum of its proper divisors (136783360).

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

54454400 is a wasteful number, since it uses less digits than its factorization.

54454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 54454400 is about 7379.3224621235. The cubic root of 54454400 is about 379.0335552286.

Adding to 54454400 its reverse (445445), we get a palindrome (54899845).

It can be divided in two parts, 544 and 54400, that multiplied together give a square (29593600 = 5440²).

The spelling of 54454400 in words is "fifty-four million, four hundred fifty-four thousand, four hundred".