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544494960 = 2435537757
BaseRepresentation
bin100000011101000…
…101010101110000
31101221120012200000
4200131011111300
52103342314320
6130010230000
716331062602
oct4035052560
91357505600
10544494960
1125a398139
12132425300
1388a63889
1452459172
1532c06c90
hex20745570

544494960 has 240 divisors, whose sum is σ = 1950146016. Its totient is φ = 141087744.

The previous prime is 544494959. The next prime is 544494971. The reversal of 544494960 is 69494445.

544494960 is a `hidden beast` number, since 544 + 4 + 9 + 49 + 60 = 666.

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

It is a super-2 number, since 2×5444949602 = 592949522930803200, 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 47 ways as a sum of consecutive naturals, for example, 718902 + ... + 719658.

Almost surely, 2544494960 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 544494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975073008).

544494960 is an abundant number, since it is smaller than the sum of its proper divisors (1405651056).

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

544494960 is a wasteful number, since it uses less digits than its factorization.

544494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 544494960 is about 23334.4157844159. The cubic root of 544494960 is about 816.5785257274.

The spelling of 544494960 in words is "five hundred forty-four million, four hundred ninety-four thousand, nine hundred sixty".