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484448640 = 27351321493
BaseRepresentation
bin11100111000000…
…001100110000000
31020202120112121020
4130320001212000
51443004324030
6120023225440
715001513464
oct3470014600
91222515536
10484448640
11229505485
121162a8280
137949b800
14484a84a4
152c7e5510
hex1ce01980

484448640 has 192 divisors, whose sum is σ = 1673220240. Its totient is φ = 119169024.

The previous prime is 484448633. The next prime is 484448651. The reversal of 484448640 is 46844484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 484448592 and 484448601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323734 + ... + 325226.

Almost surely, 2484448640 is an apocalyptic number.

484448640 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 484448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836610120).

484448640 is an abundant number, since it is smaller than the sum of its proper divisors (1188771600).

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

484448640 is a wasteful number, since it uses less digits than its factorization.

484448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The square root of 484448640 is about 22010.1940018710. The cubic root of 484448640 is about 785.3849600095.

The spelling of 484448640 in words is "four hundred eighty-four million, four hundred forty-eight thousand, six hundred forty".