554580000 has 480 divisors, whose sum is σ = 2204294400. Its totient is φ = 134784000.

The previous prime is 554579959. The next prime is 554580029. The reversal of 554580000 is 85455.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019961 + ... + 7020039.

It is an arithmetic number, because the mean of its divisors is an integer number (4592280).

Almost surely, 2^554580000 is an apocalyptic number.

554580000 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 554580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102147200).

554580000 is an abundant number, since it is smaller than the sum of its proper divisors (1649714400).

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

554580000 is a wasteful number, since it uses less digits than its factorization.

554580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 554580000 is about 23549.5222881484. The cubic root of 554580000 is about 821.5892241365.

The spelling of 554580000 in words is "five hundred fifty-four million, five hundred eighty thousand".