554342400 has 288 divisors, whose sum is σ = 2041275600. Its totient is φ = 147456000.

The previous prime is 554342377. The next prime is 554342413. The reversal of 554342400 is 4243455.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382200 + ... + 1382600.

Almost surely, 2^554342400 is an apocalyptic number.

554342400 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 554342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020637800).

554342400 is an abundant number, since it is smaller than the sum of its proper divisors (1486933200).

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

554342400 is a wasteful number, since it uses less digits than its factorization.

554342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 554342400 is about 23544.4770593870. The cubic root of 554342400 is about 821.4718755818.

Adding to 554342400 its reverse (4243455), we get a palindrome (558585855).

The spelling of 554342400 in words is "five hundred fifty-four million, three hundred forty-two thousand, four hundred".