455777640 has 96 divisors (see below), whose sum is σ = 1515777120. Its totient is φ = 118710144.

The previous prime is 455777627. The next prime is 455777657. The reversal of 455777640 is 46777554.

455777640 is a `hidden beast` number, since 4 + 5 + 577 + 76 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759 + ... + 30201.

It is an arithmetic number, because the mean of its divisors is an integer number (15789345).

Almost surely, 2^455777640 is an apocalyptic number.

455777640 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 455777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757888560).

455777640 is an abundant number, since it is smaller than the sum of its proper divisors (1059999480).

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

455777640 is a wasteful number, since it uses less digits than its factorization.

455777640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503 (or 29496 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 455777640 is about 21348.9493886702. The cubic root of 455777640 is about 769.5750958684.

The spelling of 455777640 in words is "four hundred fifty-five million, seven hundred seventy-seven thousand, six hundred forty".