490133280 has 384 divisors, whose sum is σ = 1947456000. Its totient is φ = 102961152.

The previous prime is 490133279. The next prime is 490133297. The reversal of 490133280 is 82331094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140206 + ... + 2140434.

It is an arithmetic number, because the mean of its divisors is an integer number (5071500).

Almost surely, 2^490133280 is an apocalyptic number.

490133280 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 490133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973728000).

490133280 is an abundant number, since it is smaller than the sum of its proper divisors (1457322720).

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

490133280 is a wasteful number, since it uses less digits than its factorization.

490133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 490133280 is about 22138.9539048258. The cubic root of 490133280 is about 788.4449890295. Note that the first 3 decimals are identical.

The spelling of 490133280 in words is "four hundred ninety million, one hundred thirty-three thousand, two hundred eighty".