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455322240 = 27325137577
BaseRepresentation
bin11011001000111…
…010101010000000
31011201202202200200
4123020322222000
51413030302430
6113103045200
714166114042
oct3310725200
91151682620
10455322240
1121402137a
121085a0800
1373441359
1444685a92
1529e90460
hex1b23aa80

455322240 has 192 divisors, whose sum is σ = 1586505960. Its totient is φ = 120324096.

The previous prime is 455322221. The next prime is 455322247. The reversal of 455322240 is 42223554.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 453178944 + 2143296 = 21288^2 + 1464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (455322247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788832 + ... + 789408.

Almost surely, 2455322240 is an apocalyptic number.

455322240 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 455322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793252980).

455322240 is an abundant number, since it is smaller than the sum of its proper divisors (1131183720).

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

455322240 is a wasteful number, since it uses less digits than its factorization.

455322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 455322240 is about 21338.2810929091. The cubic root of 455322240 is about 769.3186979692.

Adding to 455322240 its reverse (42223554), we get a palindrome (497545794).

The spelling of 455322240 in words is "four hundred fifty-five million, three hundred twenty-two thousand, two hundred forty".