535132000 has 192 divisors, whose sum is σ = 1456273728. Its totient is φ = 192000000.

The previous prime is 535131997. The next prime is 535132019. The reversal of 535132000 is 231535.

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, 2131875 + ... + 2132125.

It is an arithmetic number, because the mean of its divisors is an integer number (7584759).

Almost surely, 2^535132000 is an apocalyptic number.

535132000 is a gapful number since it is divisible by the number (50) 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 535132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728136864).

535132000 is an abundant number, since it is smaller than the sum of its proper divisors (921141728).

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

535132000 is a wasteful number, since it uses less digits than its factorization.

535132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 535132000 is about 23132.9202652843. The cubic root of 535132000 is about 811.8708976398.

Adding to 535132000 its reverse (231535), we get a palindrome (535363535).

The spelling of 535132000 in words is "five hundred thirty-five million, one hundred thirty-two thousand".