490398480 has 360 divisors, whose sum is σ = 1954005144. Its totient is φ = 109486080.

The previous prime is 490398463. The next prime is 490398509. The reversal of 490398480 is 84893094.

It is a happy number.

490398480 is a `hidden beast` number, since 490 + 3 + 9 + 84 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 485937936 = 2112^2 + 22044^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132344 + ... + 1132776.

Almost surely, 2^490398480 is an apocalyptic number.

490398480 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 490398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977002572).

490398480 is an abundant number, since it is smaller than the sum of its proper divisors (1463606664).

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

490398480 is a wasteful number, since it uses less digits than its factorization.

490398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 490398480 is about 22144.9425377444. The cubic root of 490398480 is about 788.5871666226.

The spelling of 490398480 in words is "four hundred ninety million, three hundred ninety-eight thousand, four hundred eighty".