536262480 has 480 divisors, whose sum is σ = 2105865216. Its totient is φ = 121245696.

The previous prime is 536262449. The next prime is 536262491. The reversal of 536262480 is 84262635.

536262480 is a `hidden beast` number, since 5 + 3 + 626 + 24 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10118134 + ... + 10118186.

Almost surely, 2^536262480 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 536262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608).

536262480 is an abundant number, since it is smaller than the sum of its proper divisors (1569602736).

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

536262480 is a wasteful number, since it uses less digits than its factorization.

536262480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 536262480 is about 23157.3418163657. The cubic root of 536262480 is about 812.4421948619.

The spelling of 536262480 in words is "five hundred thirty-six million, two hundred sixty-two thousand, four hundred eighty".