534418560 has 480 divisors, whose sum is σ = 2100484980. Its totient is φ = 129392640.

The previous prime is 534418553. The next prime is 534418589. The reversal of 534418560 is 65814435.

It is a happy number.

534418560 is a `hidden beast` number, since 53 + 4 + 41 + 8 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 534164544 = 504^2 + 23112^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 8760930 + ... + 8760990.

Almost surely, 2^534418560 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 534418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050242490).

534418560 is an abundant number, since it is smaller than the sum of its proper divisors (1566066420).

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

534418560 is a wasteful number, since it uses less digits than its factorization.

534418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 534418560 is about 23117.4946739477. The cubic root of 534418560 is about 811.5099407353.

It can be divided in two parts, 53441 and 8560, that added together give a square (62001 = 249²).

The spelling of 534418560 in words is "five hundred thirty-four million, four hundred eighteen thousand, five hundred sixty".