561478176 has 384 divisors, whose sum is σ = 2043740160. Its totient is φ = 146313216.

The previous prime is 561478163. The next prime is 561478199. The reversal of 561478176 is 671874165.

561478176 is a `hidden beast` number, since 5 + 6 + 1 + 478 + 176 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4421025 + ... + 4421151.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^561478176 is an apocalyptic number.

561478176 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 561478176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

561478176 is an abundant number, since it is smaller than the sum of its proper divisors (1482261984).

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

561478176 is a wasteful number, since it uses less digits than its factorization.

561478176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 561478176 is about 23695.5307178379. The cubic root of 561478176 is about 824.9816590964.

The spelling of 561478176 in words is "five hundred sixty-one million, four hundred seventy-eight thousand, one hundred seventy-six".