535057920 has 160 divisors (see below), whose sum is σ = 1900815840. Its totient is φ = 142663680.

The previous prime is 535057907. The next prime is 535057927. The reversal of 535057920 is 29750535.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535057927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65250 + ... + 72990.

It is an arithmetic number, because the mean of its divisors is an integer number (11880099).

Almost surely, 2^535057920 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 535057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950407920).

535057920 is an abundant number, since it is smaller than the sum of its proper divisors (1365757920).

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

535057920 is an equidigital number, since it uses as much as digits as its factorization.

535057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 535057920 is about 23131.3190285379. The cubic root of 535057920 is about 811.8334326333.

It can be divided in two parts, 53505 and 7920, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 535057920 in words is "five hundred thirty-five million, fifty-seven thousand, nine hundred twenty".