533977920 has 448 divisors, whose sum is σ = 2199436800. Its totient is φ = 120932352.

The previous prime is 533977909. The next prime is 533977921. The reversal of 533977920 is 29779335.

533977920 is a `hidden beast` number, since 533 + 97 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533977921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4898826 + ... + 4898934.

Almost surely, 2^533977920 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 533977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099718400).

533977920 is an abundant number, since it is smaller than the sum of its proper divisors (1665458880).

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

533977920 is an equidigital number, since it uses as much as digits as its factorization.

533977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 533977920 is about 23107.9622641201. The cubic root of 533977920 is about 811.2868434038.

The spelling of 533977920 in words is "five hundred thirty-three million, nine hundred seventy-seven thousand, nine hundred twenty".