455746368 has 224 divisors, whose sum is σ = 1556674560. Its totient is φ = 114186240.

The previous prime is 455746349. The next prime is 455746381. The reversal of 455746368 is 863647554.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 428205 + ... + 429267.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^455746368 is an apocalyptic number.

455746368 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 455746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778337280).

455746368 is an abundant number, since it is smaller than the sum of its proper divisors (1100928192).

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

455746368 is a wasteful number, since it uses less digits than its factorization.

455746368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 455746368 is about 21348.2169747265. The cubic root of 455746368 is about 769.5574946665.

The spelling of 455746368 in words is "four hundred fifty-five million, seven hundred forty-six thousand, three hundred sixty-eight".