564406164 has 192 divisors, whose sum is σ = 1738598400. Its totient is φ = 155001600.

The previous prime is 564406163. The next prime is 564406187. The reversal of 564406164 is 461604465.

564406164 is a `hidden beast` number, since 5 + 644 + 0 + 6 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×564406164² = 637108635922389792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564406163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4060407 + ... + 4060545.

It is an arithmetic number, because the mean of its divisors is an integer number (9055200).

Almost surely, 2^564406164 is an apocalyptic number.

564406164 is a gapful number since it is divisible by the number (54) 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 564406164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869299200).

564406164 is an abundant number, since it is smaller than the sum of its proper divisors (1174192236).

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

564406164 is a wasteful number, since it uses less digits than its factorization.

564406164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

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

The square root of 564406164 is about 23757.2339299002. The cubic root of 564406164 is about 826.4132075751.

The spelling of 564406164 in words is "five hundred sixty-four million, four hundred six thousand, one hundred sixty-four".