536966352 has 240 divisors, whose sum is σ = 1754887680. Its totient is φ = 151769088.

The previous prime is 536966329. The next prime is 536966363. The reversal of 536966352 is 253669635.

536966352 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 6 + 635 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (874800) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 536966298 and 536966307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495549 + ... + 1495907.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^536966352 is an apocalyptic number.

536966352 is a gapful number since it is divisible by the number (52) 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 536966352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

536966352 is an abundant number, since it is smaller than the sum of its proper divisors (1217921328).

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

536966352 is a wasteful number, since it uses less digits than its factorization.

536966352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 536966352 is about 23172.5344319520. The cubic root of 536966352 is about 812.7974968019.

The spelling of 536966352 in words is "five hundred thirty-six million, nine hundred sixty-six thousand, three hundred fifty-two".