455045760 has 384 divisors, whose sum is σ = 1737590400. Its totient is φ = 109043712.

The previous prime is 455045743. The next prime is 455045771. The reversal of 455045760 is 67540554.

It is a happy number.

455045760 is a `hidden beast` number, since 4 + 550 + 45 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417869 + ... + 4417971.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^455045760 is an apocalyptic number.

455045760 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 455045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868795200).

455045760 is an abundant number, since it is smaller than the sum of its proper divisors (1282544640).

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

455045760 is a wasteful number, since it uses less digits than its factorization.

455045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 455045760 is about 21331.8016116783. The cubic root of 455045760 is about 769.1629516417.

The spelling of 455045760 in words is "four hundred fifty-five million, forty-five thousand, seven hundred sixty".