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484885440 = 26345131439
BaseRepresentation
bin11100111001101…
…100001111000000
31020210101201210000
4130321230033000
51443112313230
6120040440000
715005313114
oct3471541700
91223351700
10484885440
11229783676
12116479000
13795c2580
144857d744
152c87eb60
hex1ce6c3c0

484885440 has 280 divisors, whose sum is σ = 1858792320. Its totient is φ = 119273472.

The previous prime is 484885433. The next prime is 484885459. The reversal of 484885440 is 44588484.

484885440 is a `hidden beast` number, since 484 + 88 + 54 + 40 = 666.

It is a super-2 number, since 2×4848854402 = 470227779847987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336241 + ... + 337679.

It is an arithmetic number, because the mean of its divisors is an integer number (6638544).

Almost surely, 2484885440 is an apocalyptic number.

484885440 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 484885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929396160).

484885440 is an abundant number, since it is smaller than the sum of its proper divisors (1373906880).

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

484885440 is a wasteful number, since it uses less digits than its factorization.

484885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 484885440 is about 22020.1144411195. The cubic root of 484885440 is about 785.6209348677.

The spelling of 484885440 in words is "four hundred eighty-four million, eight hundred eighty-five thousand, four hundred forty".