536028480 has 336 divisors, whose sum is σ = 2019239040. Its totient is φ = 129724416.

The previous prime is 536028469. The next prime is 536028481. The reversal of 536028480 is 84820635.

536028480 is a `hidden beast` number, since 5 + 3 + 602 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×536028480² = 574653062742220800, which contains 22 as substring.

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 (536028481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3856251 + ... + 3856389.

It is an arithmetic number, because the mean of its divisors is an integer number (6009640).

Almost surely, 2^536028480 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 536028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009619520).

536028480 is an abundant number, since it is smaller than the sum of its proper divisors (1483210560).

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

536028480 is a wasteful number, since it uses less digits than its factorization.

536028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 536028480 is about 23152.2888717293. The cubic root of 536028480 is about 812.3240070097.

The spelling of 536028480 in words is "five hundred thirty-six million, twenty-eight thousand, four hundred eighty".