535459680 has 192 divisors, whose sum is σ = 2141959680. Its totient is φ = 122383872.

The previous prime is 535459679. The next prime is 535459697. The reversal of 535459680 is 86954535.

535459680 is a `hidden beast` number, since 5 + 3 + 54 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21387 + ... + 39093.

It is an arithmetic number, because the mean of its divisors is an integer number (11156040).

Almost surely, 2^535459680 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 535459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070979840).

535459680 is an abundant number, since it is smaller than the sum of its proper divisors (1606500000).

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

535459680 is a wasteful number, since it uses less digits than its factorization.

535459680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17738 (or 17724 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 535459680 is about 23140.0017286084. The cubic root of 535459680 is about 812.0365761227.

The spelling of 535459680 in words is "five hundred thirty-five million, four hundred fifty-nine thousand, six hundred eighty".