455816240 has 80 divisors (see below), whose sum is σ = 1224162720. Its totient is φ = 155996160.

The previous prime is 455816233. The next prime is 455816267. The reversal of 455816240 is 42618554.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 455816240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275 + ... + 30194.

It is an arithmetic number, because the mean of its divisors is an integer number (15302034).

Almost surely, 2^455816240 is an apocalyptic number.

455816240 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 455816240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612081360).

455816240 is an abundant number, since it is smaller than the sum of its proper divisors (768346480).

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

455816240 is a wasteful number, since it uses less digits than its factorization.

455816240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30510 (or 30504 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 455816240 is about 21349.8533952812. The cubic root of 455816240 is about 769.5968204680.

The spelling of 455816240 in words is "four hundred fifty-five million, eight hundred sixteen thousand, two hundred forty".