533463840 has 768 divisors, whose sum is σ = 2438553600. Its totient is φ = 105836544.

The previous prime is 533463809. The next prime is 533463851. The reversal of 533463840 is 48364335.

533463840 is a `hidden beast` number, since 533 + 46 + 3 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 533463795 and 533463804.

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, 9041731 + ... + 9041789.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^533463840 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 533463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

533463840 is an abundant number, since it is smaller than the sum of its proper divisors (1905089760).

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

533463840 is a wasteful number, since it uses less digits than its factorization.

533463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 533463840 is about 23096.8361469704. The cubic root of 533463840 is about 811.0264080075.

The spelling of 533463840 in words is "five hundred thirty-three million, four hundred sixty-three thousand, eight hundred forty".