554361984 has 288 divisors, whose sum is σ = 1814723820. Its totient is φ = 162201600.

The previous prime is 554361947. The next prime is 554361989. The reversal of 554361984 is 489163455.

554361984 is a `hidden beast` number, since 554 + 3 + 6 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 503553600 + 50808384 = 22440^2 + 7128^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (518400) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (554361989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5715024 + ... + 5715120.

Almost surely, 2^554361984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907361910).

554361984 is an abundant number, since it is smaller than the sum of its proper divisors (1260361836).

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

554361984 is a wasteful number, since it uses less digits than its factorization.

554361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 554361984 is about 23544.8929494275. The cubic root of 554361984 is about 821.4815492154.

The spelling of 554361984 in words is "five hundred fifty-four million, three hundred sixty-one thousand, nine hundred eighty-four".