536490000 has 200 divisors, whose sum is σ = 1925258720. Its totient is φ = 142992000.

The previous prime is 536489969. The next prime is 536490001. The reversal of 536490000 is 94635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (536490001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269007 + ... + 270993.

Almost surely, 2^536490000 is an apocalyptic number.

536490000 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 536490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962629360).

536490000 is an abundant number, since it is smaller than the sum of its proper divisors (1388768720).

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

536490000 is a wasteful number, since it uses less digits than its factorization.

536490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 536490000 is about 23162.2537763491. The cubic root of 536490000 is about 812.5570768582.

The spelling of 536490000 in words is "five hundred thirty-six million, four hundred ninety thousand".