490548240 has 240 divisors, whose sum is σ = 2027870208. Its totient is φ = 103486464.

The previous prime is 490548199. The next prime is 490548281. The reversal of 490548240 is 42845094.

490548240 is a `hidden beast` number, since 4 + 90 + 548 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490548199) and next prime (490548281).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 490548195 and 490548204.

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 47 ways as a sum of consecutive naturals, for example, 61777 + ... + 69263.

Almost surely, 2^490548240 is an apocalyptic number.

490548240 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 490548240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013935104).

490548240 is an abundant number, since it is smaller than the sum of its proper divisors (1537321968).

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

490548240 is a wasteful number, since it uses less digits than its factorization.

490548240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 490548240 is about 22148.3236385962. The cubic root of 490548240 is about 788.6674325010.

The spelling of 490548240 in words is "four hundred ninety million, five hundred forty-eight thousand, two hundred forty".