564406146 has 48 divisors (see below), whose sum is σ = 1237436928. Its totient is φ = 185911200.

The previous prime is 564406121. The next prime is 564406147. The reversal of 564406146 is 641604465.

564406146 is a `hidden beast` number, since 5 + 644 + 0 + 6 + 1 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 564406146.

It is not an unprimeable number, because it can be changed into a prime (564406147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621825 + ... + 622731.

It is an arithmetic number, because the mean of its divisors is an integer number (25779936).

Almost surely, 2^564406146 is an apocalyptic number.

564406146 is an abundant number, since it is smaller than the sum of its proper divisors (673030782).

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

564406146 is a wasteful number, since it uses less digits than its factorization.

564406146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1284 counting only the distinct ones).

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

The square root of 564406146 is about 23757.2335510682. The cubic root of 564406146 is about 826.4131987898.

The spelling of 564406146 in words is "five hundred sixty-four million, four hundred six thousand, one hundred forty-six".