490011144 has 128 divisors (see below), whose sum is σ = 1482624000. Its totient is φ = 131975424.

The previous prime is 490011139. The next prime is 490011161. The reversal of 490011144 is 441110094.

It is a super-2 number, since 2×490011144² = 480221842488377472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208327 + ... + 210665.

It is an arithmetic number, because the mean of its divisors is an integer number (11583000).

Almost surely, 2^490011144 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 490011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741312000).

490011144 is an abundant number, since it is smaller than the sum of its proper divisors (992612856).

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

490011144 is a wasteful number, since it uses less digits than its factorization.

490011144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 490011144 is about 22136.1953370492. The cubic root of 490011144 is about 788.3794928873.

The spelling of 490011144 in words is "four hundred ninety million, eleven thousand, one hundred forty-four".