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455320656 = 24337172521
BaseRepresentation
bin11011001000111…
…010010001010000
31011201202200112000
4123020322101100
51413030230111
6113103034000
714166106320
oct3310722120
91151680460
10455320656
1121402016a
1210859b900
137344070b
1444685280
1529e8ec56
hex1b23a450

455320656 has 240 divisors, whose sum is σ = 1589719680. Its totient is φ = 122204160.

The previous prime is 455320651. The next prime is 455320661. The reversal of 455320656 is 656023554.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (455320651) and next prime (455320661).

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

It is a self number, because there is not a number n which added to its sum of digits gives 455320656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455320651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873676 + ... + 874196.

It is an arithmetic number, because the mean of its divisors is an integer number (6623832).

Almost surely, 2455320656 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 455320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794859840).

455320656 is an abundant number, since it is smaller than the sum of its proper divisors (1134399024).

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

455320656 is a wasteful number, since it uses less digits than its factorization.

455320656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 455320656 is about 21338.2439764850. The cubic root of 455320656 is about 769.3178058522.

The spelling of 455320656 in words is "four hundred fifty-five million, three hundred twenty thousand, six hundred fifty-six".