455783328 has 768 divisors, whose sum is σ = 1950842880. Its totient is φ = 99532800.

The previous prime is 455783323. The next prime is 455783333. The reversal of 455783328 is 823387554.

455783328 is a `hidden beast` number, since 45 + 578 + 3 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (455783323) and next prime (455783333).

Its product of digits (806400) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (455783323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14702673 + ... + 14702703.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^455783328 is an apocalyptic number.

455783328 is a gapful number since it is divisible by the number (48) 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 455783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

455783328 is an abundant number, since it is smaller than the sum of its proper divisors (1495059552).

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

455783328 is a wasteful number, since it uses less digits than its factorization.

455783328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 455783328 is about 21349.0826032408. The cubic root of 455783328 is about 769.5782972284.

The spelling of 455783328 in words is "four hundred fifty-five million, seven hundred eighty-three thousand, three hundred twenty-eight".