564830448 has 300 divisors, whose sum is σ = 1906808760. Its totient is φ = 143829504.

The previous prime is 564830437. The next prime is 564830459. The reversal of 564830448 is 844038465.

It is an interprime number because it is at equal distance from previous prime (564830437) and next prime (564830459).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19476898 + ... + 19476926.

Almost surely, 2^564830448 is an apocalyptic number.

564830448 is a gapful number since it is divisible by the number (58) 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 564830448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953404380).

564830448 is an abundant number, since it is smaller than the sum of its proper divisors (1341978312).

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

564830448 is a wasteful number, since it uses less digits than its factorization.

564830448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 564830448 is about 23766.1618272703. The cubic root of 564830448 is about 826.6202370154.

The spelling of 564830448 in words is "five hundred sixty-four million, eight hundred thirty thousand, four hundred forty-eight".