490462560 has 384 divisors, whose sum is σ = 2007936000. Its totient is φ = 111767040.

The previous prime is 490462543. The next prime is 490462607. The reversal of 490462560 is 65264094.

490462560 is a `hidden beast` number, since 4 + 90 + 4 + 6 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481595 + ... + 1481925.

It is an arithmetic number, because the mean of its divisors is an integer number (5229000).

Almost surely, 2^490462560 is an apocalyptic number.

490462560 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 490462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003968000).

490462560 is an abundant number, since it is smaller than the sum of its proper divisors (1517473440).

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

490462560 is a wasteful number, since it uses less digits than its factorization.

490462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 490462560 is about 22146.3893219640. The cubic root of 490462560 is about 788.6215131570.

The spelling of 490462560 in words is "four hundred ninety million, four hundred sixty-two thousand, five hundred sixty".