565590480 has 640 divisors, whose sum is σ = 2399846400. Its totient is φ = 106831872.

The previous prime is 565590439. The next prime is 565590503. The reversal of 565590480 is 84095565.

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 127 ways as a sum of consecutive naturals, for example, 12033817 + ... + 12033863.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^565590480 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 565590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

565590480 is an abundant number, since it is smaller than the sum of its proper divisors (1834255920).

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

565590480 is a wasteful number, since it uses less digits than its factorization.

565590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 565590480 is about 23782.1462446096. The cubic root of 565590480 is about 826.9908356918.

It can be divided in two parts, 5655 and 90480, that multiplied together give a square (511664400 = 22620²).

The spelling of 565590480 in words is "five hundred sixty-five million, five hundred ninety thousand, four hundred eighty".