554079456 has 288 divisors, whose sum is σ = 1886976000. Its totient is φ = 154103040.

The previous prime is 554079431. The next prime is 554079457. The reversal of 554079456 is 654970455.

554079456 is a `hidden beast` number, since 554 + 0 + 7 + 94 + 5 + 6 = 666.

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

It is a super-2 number, since 2×554079456² = 614008087122511872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554079457) 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, 7013625 + ... + 7013703.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^554079456 is an apocalyptic number.

554079456 is a gapful number since it is divisible by the number (56) 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 554079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

554079456 is an abundant number, since it is smaller than the sum of its proper divisors (1332896544).

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

554079456 is a wasteful number, since it uses less digits than its factorization.

554079456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 554079456 is about 23538.8924123460. The cubic root of 554079456 is about 821.3419707540.

The spelling of 554079456 in words is "five hundred fifty-four million, seventy-nine thousand, four hundred fifty-six".