535020000 has 240 divisors, whose sum is σ = 1809883152. Its totient is φ = 138240000.

The previous prime is 535019983. The next prime is 535020011. The reversal of 535020000 is 20535.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

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, 2219880 + ... + 2220120.

Almost surely, 2^535020000 is an apocalyptic number.

535020000 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 535020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904941576).

535020000 is an abundant number, since it is smaller than the sum of its proper divisors (1274863152).

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

535020000 is a wasteful number, since it uses less digits than its factorization.

535020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 535020000 is about 23130.4993461015. The cubic root of 535020000 is about 811.8142537433.

Adding to 535020000 its reverse (20535), we get a palindrome (535040535).

The spelling of 535020000 in words is "five hundred thirty-five million, twenty thousand".