490311144 has 160 divisors (see below), whose sum is σ = 1486615680. Its totient is φ = 150391296.

The previous prime is 490311139. The next prime is 490311167. The reversal of 490311144 is 441113094.

490311144 is a `hidden beast` number, since 490 + 31 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517279 + ... + 518225.

It is an arithmetic number, because the mean of its divisors is an integer number (9291348).

Almost surely, 2^490311144 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 490311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743307840).

490311144 is an abundant number, since it is smaller than the sum of its proper divisors (996304536).

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

490311144 is a wasteful number, since it uses less digits than its factorization.

490311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 490311144 is about 22142.9705324286. The cubic root of 490311144 is about 788.5403501795.

The spelling of 490311144 in words is "four hundred ninety million, three hundred eleven thousand, one hundred forty-four".