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490236480 = 263251721931
BaseRepresentation
bin11101001110000…
…110101001000000
31021011110121000200
4131032012221000
52001000031410
6120351245200
715101640606
oct3516065100
91234417020
10490236480
112317a8a18
12118219800
137a747076
1449173876
152d08a3c0
hex1d386a40

490236480 has 504 divisors, whose sum is σ = 1946330880. Its totient is φ = 112803840.

The previous prime is 490236473. The next prime is 490236491. The reversal of 490236480 is 84632094.

It is a happy number.

490236480 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 3 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15814065 + ... + 15814095.

Almost surely, 2490236480 is an apocalyptic number.

490236480 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 490236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973165440).

490236480 is an abundant number, since it is smaller than the sum of its proper divisors (1456094400).

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

490236480 is a wasteful number, since it uses less digits than its factorization.

490236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 490236480 is about 22141.2845155831. The cubic root of 490236480 is about 788.5003221509.

The spelling of 490236480 in words is "four hundred ninety million, two hundred thirty-six thousand, four hundred eighty".