490080780 has 240 divisors, whose sum is σ = 1834398720. Its totient is φ = 107091072.

The previous prime is 490080739. The next prime is 490080781. The reversal of 490080780 is 87080094.

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

It is not an unprimeable number, because it can be changed into a prime (490080781) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259881 + ... + 261759.

It is an arithmetic number, because the mean of its divisors is an integer number (7643328).

Almost surely, 2^490080780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490080780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917199360).

490080780 is an abundant number, since it is smaller than the sum of its proper divisors (1344317940).

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

490080780 is a wasteful number, since it uses less digits than its factorization.

490080780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 490080780 is about 22137.7681801938. The cubic root of 490080780 is about 788.4168369318.

The spelling of 490080780 in words is "four hundred ninety million, eighty thousand, seven hundred eighty".