490966672 has 60 divisors (see below), whose sum is σ = 1120702080. Its totient is φ = 207724608.

The previous prime is 490966667. The next prime is 490966699. The reversal of 490966672 is 276669094.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 11 ways as a sum of consecutive naturals, for example, 57973 + ... + 65899.

It is an arithmetic number, because the mean of its divisors is an integer number (18678368).

Almost surely, 2^490966672 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 490966672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560351040).

490966672 is an abundant number, since it is smaller than the sum of its proper divisors (629735408).

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

490966672 is a wasteful number, since it uses less digits than its factorization.

490966672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 490966672 is about 22157.7677576059. The cubic root of 490966672 is about 788.8916101855.

The spelling of 490966672 in words is "four hundred ninety million, nine hundred sixty-six thousand, six hundred seventy-two".