536475744 has 192 divisors, whose sum is σ = 1807142400. Its totient is φ = 151663104.

The previous prime is 536475707. The next prime is 536475757. The reversal of 536475744 is 447574635.

536475744 is a `hidden beast` number, since 5 + 36 + 47 + 574 + 4 = 666.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 536475744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646722 + ... + 647550.

It is an arithmetic number, because the mean of its divisors is an integer number (9412200).

Almost surely, 2^536475744 is an apocalyptic number.

536475744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536475744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903571200).

536475744 is an abundant number, since it is smaller than the sum of its proper divisors (1270666656).

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

536475744 is a wasteful number, since it uses less digits than its factorization.

536475744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 536475744 is about 23161.9460322314. The cubic root of 536475744 is about 812.5498795098.

The spelling of 536475744 in words is "five hundred thirty-six million, four hundred seventy-five thousand, seven hundred forty-four".