455650560 has 216 divisors, whose sum is σ = 1620626280. Its totient is φ = 118112256.

The previous prime is 455650549. The next prime is 455650579. The reversal of 455650560 is 65056554.

It is a happy number.

455650560 is a `hidden beast` number, since 4 + 556 + 50 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117679104 + 337971456 = 10848^2 + 18384^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425706 + ... + 426774.

Almost surely, 2^455650560 is an apocalyptic number.

455650560 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 455650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810313140).

455650560 is an abundant number, since it is smaller than the sum of its proper divisors (1164975720).

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

455650560 is a wasteful number, since it uses less digits than its factorization.

455650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 455650560 is about 21345.9729223102. The cubic root of 455650560 is about 769.5035648664.

The spelling of 455650560 in words is "four hundred fifty-five million, six hundred fifty thousand, five hundred sixty".