455913602760 has 384 divisors, whose sum is σ = 1737543312000. Its totient is φ = 94633943040.

The previous prime is 455913602747. The next prime is 455913602761. The reversal of 455913602760 is 67206319554.

It is not an unprimeable number, because it can be changed into a prime (455913602761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70692016 + ... + 70698464.

It is an arithmetic number, because the mean of its divisors is an integer number (4524852375).

Almost surely, 2^455913602760 is an apocalyptic number.

455913602760 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 455913602760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868771656000).

455913602760 is an abundant number, since it is smaller than the sum of its proper divisors (1281629709240).

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

455913602760 is a wasteful number, since it uses less digits than its factorization.

455913602760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 455913602760 in words is "four hundred fifty-five billion, nine hundred thirteen million, six hundred two thousand, seven hundred sixty".