490503528900 has 324 divisors, whose sum is σ = 1951059342960. Its totient is φ = 101922710400.

The previous prime is 490503528899. The next prime is 490503528919. The reversal of 490503528900 is 9825305094.

490503528900 is a `hidden beast` number, since 4 + 9 + 0 + 503 + 52 + 8 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20470 + ... + 990669.

Almost surely, 2^490503528900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490503528900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975529671480).

490503528900 is an abundant number, since it is smaller than the sum of its proper divisors (1460555814060).

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

490503528900 is a wasteful number, since it uses less digits than its factorization.

490503528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011184 (or 1011167 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 490503528900 in words is "four hundred ninety billion, five hundred three million, five hundred twenty-eight thousand, nine hundred".