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490280960 = 21151329127
BaseRepresentation
bin11101001110010…
…001100000000000
31021011112212001002
4131032101200000
52001002442320
6120352231132
715102214361
oct3516214000
91234485032
10490280960
11231829384
1211823b4a8
137a7613a0
1449185b68
152d098675
hex1d391800

490280960 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 173408256.

The previous prime is 490280909. The next prime is 490280963. The reversal of 490280960 is 69082094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490280963) 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, 3860417 + ... + 3860543.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2490280960 is an apocalyptic number.

490280960 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 490280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

490280960 is an abundant number, since it is smaller than the sum of its proper divisors (830602240).

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

490280960 is a wasteful number, since it uses less digits than its factorization.

490280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 490280960 is about 22142.2889512354. The cubic root of 490280960 is about 788.5241687603.

The spelling of 490280960 in words is "four hundred ninety million, two hundred eighty thousand, nine hundred sixty".