562462560 has 144 divisors (see below), whose sum is σ = 2093953680. Its totient is φ = 136350720.

The previous prime is 562462519. The next prime is 562462573. The reversal of 562462560 is 65264265.

562462560 is a `hidden beast` number, since 5 + 6 + 24 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 1915 + ... + 33594.

It is an arithmetic number, because the mean of its divisors is an integer number (14541345).

Almost surely, 2^562462560 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 562462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046976840).

562462560 is an abundant number, since it is smaller than the sum of its proper divisors (1531491120).

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

562462560 is a wasteful number, since it uses less digits than its factorization.

562462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35541 (or 35530 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 562462560 is about 23716.2931336244. The cubic root of 562462560 is about 825.4634971275.

The spelling of 562462560 in words is "five hundred sixty-two million, four hundred sixty-two thousand, five hundred sixty".