554120400 has 120 divisors (see below), whose sum is σ = 1836355680. Its totient is φ = 142661120.

The previous prime is 554120387. The next prime is 554120407. The reversal of 554120400 is 4021455.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554120407) by changing a digit.

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, 26839 + ... + 42761.

It is an arithmetic number, because the mean of its divisors is an integer number (15302964).

Almost surely, 2^554120400 is an apocalyptic number.

554120400 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 554120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918177840).

554120400 is an abundant number, since it is smaller than the sum of its proper divisors (1282235280).

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

554120400 is a wasteful number, since it uses less digits than its factorization.

554120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 554120400 is about 23539.7621058498. The cubic root of 554120400 is about 821.3622014249.

Adding to 554120400 its reverse (4021455), we get a palindrome (558141855).

The spelling of 554120400 in words is "five hundred fifty-four million, one hundred twenty thousand, four hundred".