490736560 has 80 divisors (see below), whose sum is σ = 1205280000. Its totient is φ = 185303808.

The previous prime is 490736539. The next prime is 490736591. The reversal of 490736560 is 65637094.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 758157 + ... + 758803.

It is an arithmetic number, because the mean of its divisors is an integer number (15066000).

Almost surely, 2^490736560 is an apocalyptic number.

490736560 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 490736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640000).

490736560 is an abundant number, since it is smaller than the sum of its proper divisors (714543440).

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

490736560 is a wasteful number, since it uses less digits than its factorization.

490736560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 490736560 is about 22152.5745682076. The cubic root of 490736560 is about 788.7683419442.

The spelling of 490736560 in words is "four hundred ninety million, seven hundred thirty-six thousand, five hundred sixty".