490613760 has 660 divisors, whose sum is σ = 2175682608. Its totient is φ = 103514112.

The previous prime is 490613743. The next prime is 490613797. The reversal of 490613760 is 67316094.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37739514 + ... + 37739526.

Almost surely, 2^490613760 is an apocalyptic number.

490613760 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 490613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087841304).

490613760 is an abundant number, since it is smaller than the sum of its proper divisors (1685068848).

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

490613760 is a wasteful number, since it uses less digits than its factorization.

490613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 490613760 is about 22149.8027079250. The cubic root of 490613760 is about 788.7025436858.

The spelling of 490613760 in words is "four hundred ninety million, six hundred thirteen thousand, seven hundred sixty".