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490704480 = 253657601
BaseRepresentation
bin11101001111111…
…000111001100000
31021012100101000000
4131033320321200
52001110020410
6120405300000
715105630210
oct3517707140
91235311000
10490704480
11231a985a2
12118404600
137a87c0a6
1449256240
152d12ddc0
hex1d3f8e60

490704480 has 336 divisors, whose sum is σ = 1989749664. Its totient is φ = 111974400.

The previous prime is 490704443. The next prime is 490704497. The reversal of 490704480 is 84407094.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 816180 + ... + 816780.

It is an arithmetic number, because the mean of its divisors is an integer number (5921874).

Almost surely, 2490704480 is an apocalyptic number.

490704480 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 490704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994874832).

490704480 is an abundant number, since it is smaller than the sum of its proper divisors (1499045184).

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

490704480 is an equidigital number, since it uses as much as digits as its factorization.

490704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 490704480 is about 22151.8504870361. The cubic root of 490704480 is about 788.7511540122.

The spelling of 490704480 in words is "four hundred ninety million, seven hundred four thousand, four hundred eighty".