490791825 has 96 divisors (see below), whose sum is σ = 953153280. Its totient is φ = 247104000.

The previous prime is 490791823. The next prime is 490791857. The reversal of 490791825 is 528197094.

It is not a de Polignac number, because 490791825 - 2¹ = 490791823 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (490791823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1567869 + ... + 1568181.

It is an arithmetic number, because the mean of its divisors is an integer number (9928680).

Almost surely, 2^490791825 is an apocalyptic number.

490791825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490791825 is a deficient number, since it is larger than the sum of its proper divisors (462361455).

490791825 is a wasteful number, since it uses less digits than its factorization.

490791825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 490791825 is about 22153.8219050348. The cubic root of 490791825 is about 788.7979502580.

The spelling of 490791825 in words is "four hundred ninety million, seven hundred ninety-one thousand, eight hundred twenty-five".