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469830816 = 253272132197
BaseRepresentation
bin11100000000010…
…000110010100000
31012202001212201100
4130000100302200
51430234041231
6114342034400
714433332100
oct3400206240
91182055640
10469830816
11221230934
12111418a00
1376451100
1446581200
152b3a91e6
hex1c010ca0

469830816 has 324 divisors, whose sum is σ = 1691511822. Its totient is φ = 123282432.

The previous prime is 469830811. The next prime is 469830817. The reversal of 469830816 is 618038964.

It can be written as a sum of positive squares in 3 ways, for example, as 376515216 + 93315600 = 19404^2 + 9660^2 .

It is not an unprimeable number, because it can be changed into a prime (469830811) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384830 + ... + 2385026.

Almost surely, 2469830816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469830816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845755911).

469830816 is an abundant number, since it is smaller than the sum of its proper divisors (1221681006).

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

469830816 is a wasteful number, since it uses less digits than its factorization.

469830816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 469830816 is about 21675.5810994769. The cubic root of 469830816 is about 777.4047075997.

The spelling of 469830816 in words is "four hundred sixty-nine million, eight hundred thirty thousand, eight hundred sixteen".