490877760 has 112 divisors (see below), whose sum is σ = 1568598336. Its totient is φ = 130056192.

The previous prime is 490877719. The next prime is 490877767. The reversal of 490877760 is 67778094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490877767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154912 + ... + 158048.

Almost surely, 2^490877760 is an apocalyptic number.

490877760 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 490877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784299168).

490877760 is an abundant number, since it is smaller than the sum of its proper divisors (1077720576).

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

490877760 is a wasteful number, since it uses less digits than its factorization.

490877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 490877760 is about 22155.7613274742. The cubic root of 490877760 is about 788.8439856593.

The spelling of 490877760 in words is "four hundred ninety million, eight hundred seventy-seven thousand, seven hundred sixty".