490779840 has 224 divisors, whose sum is σ = 1644237504. Its totient is φ = 123863040.

The previous prime is 490779833. The next prime is 490779853. The reversal of 490779840 is 48977094.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 490779840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456152 + ... + 1456488.

It is an arithmetic number, because the mean of its divisors is an integer number (7340346).

Almost surely, 2^490779840 is an apocalyptic number.

490779840 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 490779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822118752).

490779840 is an abundant number, since it is smaller than the sum of its proper divisors (1153457664).

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

490779840 is a wasteful number, since it uses less digits than its factorization.

490779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 490779840 is about 22153.5514082957. The cubic root of 490779840 is about 788.7915294634.

The spelling of 490779840 in words is "four hundred ninety million, seven hundred seventy-nine thousand, eight hundred forty".