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490227360 = 253572191097
BaseRepresentation
bin11101001110000…
…100011010100000
31021011110010111220
4131032010122200
52000444233420
6120351135040
715101602200
oct3516043240
91234403456
10490227360
112317a2087
12118214480
137a742b7c
1449170400
152d087840
hex1d3846a0

490227360 has 288 divisors, whose sum is σ = 1892600640. Its totient is φ = 106057728.

The previous prime is 490227307. The next prime is 490227377. The reversal of 490227360 is 63722094.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446332 + ... + 447428.

It is an arithmetic number, because the mean of its divisors is an integer number (6571530).

Almost surely, 2490227360 is an apocalyptic number.

490227360 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 490227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946300320).

490227360 is an abundant number, since it is smaller than the sum of its proper divisors (1402373280).

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

490227360 is a wasteful number, since it uses less digits than its factorization.

490227360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 490227360 is about 22141.0785645144. The cubic root of 490227360 is about 788.4954325599.

The spelling of 490227360 in words is "four hundred ninety million, two hundred twenty-seven thousand, three hundred sixty".