490137024 has 112 divisors (see below), whose sum is σ = 1408176000. Its totient is φ = 149560320.

The previous prime is 490137019. The next prime is 490137031. The reversal of 490137024 is 420731094.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 490136982 and 490137000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326227 + ... + 327725.

It is an arithmetic number, because the mean of its divisors is an integer number (12573000).

Almost surely, 2^490137024 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 490137024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088000).

490137024 is an abundant number, since it is smaller than the sum of its proper divisors (918038976).

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

490137024 is a wasteful number, since it uses less digits than its factorization.

490137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 490137024 is about 22139.0384615051. The cubic root of 490137024 is about 788.4469965995.

The spelling of 490137024 in words is "four hundred ninety million, one hundred thirty-seven thousand, twenty-four".