455361440 has 24 divisors (see below), whose sum is σ = 1075791780. Its totient is φ = 182144512.

The previous prime is 455361437. The next prime is 455361461. The reversal of 455361440 is 44163554.

It can be written as a sum of positive squares in 2 ways, for example, as 449270416 + 6091024 = 21196^2 + 2468^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 455361397 and 455361406.

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 3 ways as a sum of consecutive naturals, for example, 1422845 + ... + 1423164.

Almost surely, 2^455361440 is an apocalyptic number.

455361440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455361440 is an abundant number, since it is smaller than the sum of its proper divisors (620430340).

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

455361440 is a wasteful number, since it uses less digits than its factorization.

455361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846024 (or 2846016 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 455361440 is about 21339.1996101072. The cubic root of 455361440 is about 769.3407749548.

The spelling of 455361440 in words is "four hundred fifty-five million, three hundred sixty-one thousand, four hundred forty".