490795956 has 96 divisors (see below), whose sum is σ = 1484000000. Its totient is φ = 140216832.

The previous prime is 490795931. The next prime is 490795957. The reversal of 490795956 is 659597094.

490795956 is a `hidden beast` number, since 49 + 0 + 7 + 9 + 595 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490795957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30420 + ... + 43668.

Almost surely, 2^490795956 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 490795956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742000000).

490795956 is an abundant number, since it is smaller than the sum of its proper divisors (993204044).

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

490795956 is a wasteful number, since it uses less digits than its factorization.

490795956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 490795956 is about 22153.9151393157. The cubic root of 490795956 is about 788.8001633587.

The spelling of 490795956 in words is "four hundred ninety million, seven hundred ninety-five thousand, nine hundred fifty-six".