535308480 has 448 divisors, whose sum is σ = 2212116480. Its totient is φ = 119328768.

The previous prime is 535308479. The next prime is 535308497. The reversal of 535308480 is 84803535.

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

It is a super-3 number, since 3×535308480³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3205357 + ... + 3205523.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^535308480 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 535308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106058240).

535308480 is an abundant number, since it is smaller than the sum of its proper divisors (1676808000).

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

535308480 is a wasteful number, since it uses less digits than its factorization.

535308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 535308480 is about 23136.7344281772. The cubic root of 535308480 is about 811.9601362005.

The spelling of 535308480 in words is "five hundred thirty-five million, three hundred eight thousand, four hundred eighty".