490474480 has 80 divisors (see below), whose sum is σ = 1217091744. Its totient is φ = 183173120.

The previous prime is 490474447. The next prime is 490474487. The reversal of 490474480 is 84474094.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490474487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176784 + ... + 179536.

Almost surely, 2^490474480 is an apocalyptic number.

490474480 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 490474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608545872).

490474480 is an abundant number, since it is smaller than the sum of its proper divisors (726617264).

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

490474480 is a wasteful number, since it uses less digits than its factorization.

490474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 490474480 is about 22146.6584386900. The cubic root of 490474480 is about 788.6279018827.

The spelling of 490474480 in words is "four hundred ninety million, four hundred seventy-four thousand, four hundred eighty".