490402080 has 192 divisors, whose sum is σ = 1961729280. Its totient is φ = 112084992.

The previous prime is 490402069. The next prime is 490402091. The reversal of 490402080 is 80204094.

It is an interprime number because it is at equal distance from previous prime (490402069) and next prime (490402091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22132 + ... + 38348.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2^490402080 is an apocalyptic number.

490402080 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 490402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980864640).

490402080 is an abundant number, since it is smaller than the sum of its proper divisors (1471327200).

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

490402080 is a wasteful number, since it uses less digits than its factorization.

490402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 490402080 is about 22145.0238202626. The cubic root of 490402080 is about 788.5890962825.

The spelling of 490402080 in words is "four hundred ninety million, four hundred two thousand, eighty".