490639680 has 280 divisors, whose sum is σ = 1823386752. Its totient is φ = 124996608.

The previous prime is 490639673. The next prime is 490639741. The reversal of 490639680 is 86936094.

490639680 is a `hidden beast` number, since 4 + 9 + 0 + 639 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 595749 + ... + 596571.

Almost surely, 2^490639680 is an apocalyptic number.

490639680 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 490639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911693376).

490639680 is an abundant number, since it is smaller than the sum of its proper divisors (1332747072).

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

490639680 is a wasteful number, since it uses less digits than its factorization.

490639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 490639680 is about 22150.3878069888. The cubic root of 490639680 is about 788.7164329619.

The spelling of 490639680 in words is "four hundred ninety million, six hundred thirty-nine thousand, six hundred eighty".