490635360 has 192 divisors, whose sum is σ = 1731844800. Its totient is φ = 129724416.

The previous prime is 490635329. The next prime is 490635367. The reversal of 490635360 is 63536094.

490635360 is a `hidden beast` number, since 490 + 63 + 53 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490635367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591426 + ... + 592254.

It is an arithmetic number, because the mean of its divisors is an integer number (9020025).

Almost surely, 2^490635360 is an apocalyptic number.

490635360 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 490635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865922400).

490635360 is an abundant number, since it is smaller than the sum of its proper divisors (1241209440).

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

490635360 is a wasteful number, since it uses less digits than its factorization.

490635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 490635360 is about 22150.2902915515. The cubic root of 490635360 is about 788.7141181166.

The spelling of 490635360 in words is "four hundred ninety million, six hundred thirty-five thousand, three hundred sixty".