455583840 has 96 divisors (see below), whose sum is σ = 1459503360. Its totient is φ = 119422464.

The previous prime is 455583811. The next prime is 455583857. The reversal of 455583840 is 48385554.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 455583792 and 455583801.

It is a congruent number.

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, 20277 + ... + 36363.

It is an arithmetic number, because the mean of its divisors is an integer number (15203160).

Almost surely, 2^455583840 is an apocalyptic number.

455583840 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 455583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729751680).

455583840 is an abundant number, since it is smaller than the sum of its proper divisors (1003919520).

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

455583840 is a wasteful number, since it uses less digits than its factorization.

455583840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16156 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 455583840 is about 21344.4100410388. The cubic root of 455583840 is about 769.4660040771.

The spelling of 455583840 in words is "four hundred fifty-five million, five hundred eighty-three thousand, eight hundred forty".