490109184 has 288 divisors, whose sum is σ = 1586471040. Its totient is φ = 148635648.

The previous prime is 490109171. The next prime is 490109219. The reversal of 490109184 is 481901094.

490109184 is a `hidden beast` number, since 490 + 1 + 0 + 91 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×490109184² = 480414024482291712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5052624 + ... + 5052720.

It is an arithmetic number, because the mean of its divisors is an integer number (5508580).

Almost surely, 2^490109184 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 490109184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793235520).

490109184 is an abundant number, since it is smaller than the sum of its proper divisors (1096361856).

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

490109184 is a wasteful number, since it uses less digits than its factorization.

490109184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 490109184 is about 22138.4096989824. The cubic root of 490109184 is about 788.4320682706.

The spelling of 490109184 in words is "four hundred ninety million, one hundred nine thousand, one hundred eighty-four".