533846880 has 288 divisors, whose sum is σ = 2100204288. Its totient is φ = 120960000.

The previous prime is 533846851. The next prime is 533846921. The reversal of 533846880 is 88648335.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126755 + ... + 2127005.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2^533846880 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 533846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050102144).

533846880 is an abundant number, since it is smaller than the sum of its proper divisors (1566357408).

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

533846880 is a wasteful number, since it uses less digits than its factorization.

533846880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 533846880 is about 23105.1267038292. The cubic root of 533846880 is about 811.2204737897.

The spelling of 533846880 in words is "five hundred thirty-three million, eight hundred forty-six thousand, eight hundred eighty".