564066048 has 216 divisors, whose sum is σ = 1882303248. Its totient is φ = 148635648.

The previous prime is 564066029. The next prime is 564066067. The reversal of 564066048 is 840660465.

It is an interprime number because it is at equal distance from previous prime (564066029) and next prime (564066067).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 564065997 and 564066015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488640 + ... + 489792.

Almost surely, 2^564066048 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 564066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941151624).

564066048 is an abundant number, since it is smaller than the sum of its proper divisors (1318237200).

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

564066048 is a wasteful number, since it uses less digits than its factorization.

564066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 564066048 is about 23750.0746946194. The cubic root of 564066048 is about 826.2471729880.

The spelling of 564066048 in words is "five hundred sixty-four million, sixty-six thousand, forty-eight".