564049440 has 192 divisors, whose sum is σ = 2008540800. Its totient is φ = 147796992.

The previous prime is 564049439. The next prime is 564049441. The reversal of 564049440 is 44940465.

564049440 is a `hidden beast` number, since 5 + 640 + 4 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564049439) and next prime (564049441).

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

It is a junction number, because it is equal to n+sod(n) for n = 564049395 and 564049404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564049441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 253774 + ... + 255986.

It is an arithmetic number, because the mean of its divisors is an integer number (10461150).

Almost surely, 2^564049440 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 564049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004270400).

564049440 is an abundant number, since it is smaller than the sum of its proper divisors (1444491360).

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

564049440 is a wasteful number, since it uses less digits than its factorization.

564049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564049440 is about 23749.7250510401. The cubic root of 564049440 is about 826.2390637440.

The spelling of 564049440 in words is "five hundred sixty-four million, forty-nine thousand, four hundred forty".