564105040 has 40 divisors (see below), whose sum is σ = 1323172008. Its totient is φ = 223641600.

The previous prime is 564105007. The next prime is 564105083. The reversal of 564105040 is 40501465.

564105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51897616 + 512207424 = 7204^2 + 22632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 564104996 and 564105014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22161 + ... + 40240.

Almost surely, 2^564105040 is an apocalyptic number.

It is an amenable number.

564105040 is an abundant number, since it is smaller than the sum of its proper divisors (759066968).

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

564105040 is a wasteful number, since it uses less digits than its factorization.

564105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62527 (or 62521 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 564105040 is about 23750.8955620625. The cubic root of 564105040 is about 826.2662111176.

The spelling of 564105040 in words is "five hundred sixty-four million, one hundred five thousand, forty".