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469027440 = 243257293209
BaseRepresentation
bin11011111101001…
…100101001110000
31012200120001200200
4123331030221300
51430032334230
6114312515200
714423444640
oct3375145160
91180501620
10469027440
11220832292
121110abb00
137622c53b
1446412520
152b29b160
hex1bf4ca70

469027440 has 240 divisors, whose sum is σ = 1862827200. Its totient is φ = 103477248.

The previous prime is 469027423. The next prime is 469027451. The reversal of 469027440 is 44720964.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 469027395 and 469027404.

It is a congruent number.

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, 144556 + ... + 147764.

It is an arithmetic number, because the mean of its divisors is an integer number (7761780).

Almost surely, 2469027440 is an apocalyptic number.

469027440 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 469027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931413600).

469027440 is an abundant number, since it is smaller than the sum of its proper divisors (1393799760).

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

469027440 is a wasteful number, since it uses less digits than its factorization.

469027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 469027440 is about 21657.0413491779. The cubic root of 469027440 is about 776.9613532554.

The spelling of 469027440 in words is "four hundred sixty-nine million, twenty-seven thousand, four hundred forty".