455480640 has 168 divisors, whose sum is σ = 1585158120. Its totient is φ = 120029184.

The previous prime is 455480629. The next prime is 455480651. The reversal of 455480640 is 46084554.

455480640 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (455480629) and next prime (455480651).

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 444029184 = 3384^2 + 21072^2 .

It is a super-2 number, since 2×455480640² = 414925226829619200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 455480595 and 455480604.

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, 255432 + ... + 257208.

It is an arithmetic number, because the mean of its divisors is an integer number (9435465).

Almost surely, 2^455480640 is an apocalyptic number.

455480640 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 455480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792579060).

455480640 is an abundant number, since it is smaller than the sum of its proper divisors (1129677480).

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

455480640 is a wasteful number, since it uses less digits than its factorization.

455480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 455480640 is about 21341.9924093324. The cubic root of 455480640 is about 769.4078992298.

The spelling of 455480640 in words is "four hundred fifty-five million, four hundred eighty thousand, six hundred forty".