535092480 has 360 divisors, whose sum is σ = 2067133992. Its totient is φ = 131383296.

The previous prime is 535092479. The next prime is 535092491. The reversal of 535092480 is 84290535.

535092480 is a `hidden beast` number, since 53 + 509 + 24 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 511121664 = 4896^2 + 22608^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347642 + ... + 1348038.

Almost surely, 2^535092480 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 535092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033566996).

535092480 is an abundant number, since it is smaller than the sum of its proper divisors (1532041512).

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

535092480 is a wasteful number, since it uses less digits than its factorization.

535092480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 535092480 is about 23132.0660555861. The cubic root of 535092480 is about 811.8509113388.

The spelling of 535092480 in words is "five hundred thirty-five million, ninety-two thousand, four hundred eighty".