554416560 has 120 divisors (see below), whose sum is σ = 1873098864. Its totient is φ = 146956800.

The previous prime is 554416553. The next prime is 554416601. The reversal of 554416560 is 65614455.

554416560 is a `hidden beast` number, since 5 + 54 + 41 + 6 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122335 + ... + 126785.

Almost surely, 2^554416560 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 554416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936549432).

554416560 is an abundant number, since it is smaller than the sum of its proper divisors (1318682304).

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

554416560 is a wasteful number, since it uses less digits than its factorization.

554416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 554416560 is about 23546.0518983544. The cubic root of 554416560 is about 821.5085061540.

It can be divided in two parts, 55441 and 6560, that added together give a square (62001 = 249²).

The spelling of 554416560 in words is "five hundred fifty-four million, four hundred sixteen thousand, five hundred sixty".