560146440 has 256 divisors, whose sum is σ = 2027520000. Its totient is φ = 123621120.

The previous prime is 560146427. The next prime is 560146459. The reversal of 560146440 is 44641065.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 560146398 and 560146407.

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, 1275741 + ... + 1276179.

It is an arithmetic number, because the mean of its divisors is an integer number (7920000).

Almost surely, 2^560146440 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 560146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013760000).

560146440 is an abundant number, since it is smaller than the sum of its proper divisors (1467373560).

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

560146440 is a wasteful number, since it uses less digits than its factorization.

560146440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 560146440 is about 23667.4130398740. The cubic root of 560146440 is about 824.3289014403.

The spelling of 560146440 in words is "five hundred sixty million, one hundred forty-six thousand, four hundred forty".