490080976 has 180 divisors, whose sum is σ = 1264078816. Its totient is φ = 180069120.

The previous prime is 490080973. The next prime is 490080989. The reversal of 490080976 is 679080094.

It is a super-2 number, since 2×490080976² = 480358726074225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490080973) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11397211 + ... + 11397253.

Almost surely, 2^490080976 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 490080976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632039408).

490080976 is an abundant number, since it is smaller than the sum of its proper divisors (773997840).

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

490080976 is a wasteful number, since it uses less digits than its factorization.

490080976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 490080976 is about 22137.7726070172. The cubic root of 490080976 is about 788.4169420367.

The spelling of 490080976 in words is "four hundred ninety million, eighty thousand, nine hundred seventy-six".