490312144 has 80 divisors (see below), whose sum is σ = 1129828480. Its totient is φ = 201761280.

The previous prime is 490312139. The next prime is 490312159. The reversal of 490312144 is 441213094.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 292942 + ... + 294610.

It is an arithmetic number, because the mean of its divisors is an integer number (14122856).

Almost surely, 2^490312144 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 490312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564914240).

490312144 is an abundant number, since it is smaller than the sum of its proper divisors (639516336).

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

490312144 is a wasteful number, since it uses less digits than its factorization.

490312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 490312144 is about 22142.9931129466. The cubic root of 490312144 is about 788.5408862607.

The spelling of 490312144 in words is "four hundred ninety million, three hundred twelve thousand, one hundred forty-four".