490689360 has 640 divisors, whose sum is σ = 2159861760. Its totient is φ = 99753984.

The previous prime is 490689319. The next prime is 490689361. The reversal of 490689360 is 63986094.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490689361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5911879 + ... + 5911961.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^490689360 is an apocalyptic number.

490689360 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 490689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

490689360 is an abundant number, since it is smaller than the sum of its proper divisors (1669172400).

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

490689360 is a wasteful number, since it uses less digits than its factorization.

490689360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 490689360 is about 22151.5092036638. The cubic root of 490689360 is about 788.7430527072.

The spelling of 490689360 in words is "four hundred ninety million, six hundred eighty-nine thousand, three hundred sixty".