490314240 has 240 divisors, whose sum is σ = 1829836008. Its totient is φ = 120619008.

The previous prime is 490314229. The next prime is 490314263. The reversal of 490314240 is 42413094.

It can be written as a sum of positive squares in 4 ways, for example, as 159365376 + 330948864 = 12624^2 + 18192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298702 + ... + 300338.

Almost surely, 2^490314240 is an apocalyptic number.

490314240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914918004).

490314240 is an abundant number, since it is smaller than the sum of its proper divisors (1339521768).

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

490314240 is a wasteful number, since it uses less digits than its factorization.

490314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 490314240 is about 22143.0404416376. The cubic root of 490314240 is about 788.5420098846.

The spelling of 490314240 in words is "four hundred ninety million, three hundred fourteen thousand, two hundred forty".