533859840 has 480 divisors, whose sum is σ = 2068260480. Its totient is φ = 126615552.

The previous prime is 533859839. The next prime is 533859871. The reversal of 533859840 is 48958335.

It is a happy number.

533859840 is a `hidden beast` number, since 53 + 3 + 8 + 598 + 4 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358697 + ... + 11358743.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^533859840 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 533859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034130240).

533859840 is an abundant number, since it is smaller than the sum of its proper divisors (1534400640).

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

533859840 is a wasteful number, since it uses less digits than its factorization.

533859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 533859840 is about 23105.4071593642. The cubic root of 533859840 is about 811.2270383014.

The spelling of 533859840 in words is "five hundred thirty-three million, eight hundred fifty-nine thousand, eight hundred forty".