455461760 has 96 divisors (see below), whose sum is σ = 1179317880. Its totient is φ = 168130560.

The previous prime is 455461729. The next prime is 455461789. The reversal of 455461760 is 67164554.

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 11 ways as a sum of consecutive naturals, for example, 106055 + ... + 110265.

Almost surely, 2^455461760 is an apocalyptic number.

455461760 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 455461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589658940).

455461760 is an abundant number, since it is smaller than the sum of its proper divisors (723856120).

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

455461760 is a wasteful number, since it uses less digits than its factorization.

455461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 455461760 is about 21341.5500842839. The cubic root of 455461760 is about 769.3972682461.

The spelling of 455461760 in words is "four hundred fifty-five million, four hundred sixty-one thousand, seven hundred sixty".