455644320 has 192 divisors, whose sum is σ = 1544417280. Its totient is φ = 112555008.

The previous prime is 455644309. The next prime is 455644333. The reversal of 455644320 is 23446554.

It is a super-2 number, since 2×455644320² = 415223492696524800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 428109 + ... + 429171.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^455644320 is an apocalyptic number.

455644320 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 455644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

455644320 is an abundant number, since it is smaller than the sum of its proper divisors (1088772960).

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

455644320 is a wasteful number, since it uses less digits than its factorization.

455644320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 455644320 is about 21345.8267584088. The cubic root of 455644320 is about 769.5000521422.

The spelling of 455644320 in words is "four hundred fifty-five million, six hundred forty-four thousand, three hundred twenty".