455909680 has 80 divisors (see below), whose sum is σ = 1115357184. Its totient is φ = 172972800.

The previous prime is 455909659. The next prime is 455909681. The reversal of 455909680 is 86909554.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 455909680.

It is not an unprimeable number, because it can be changed into a prime (455909681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232705 + ... + 234655.

Almost surely, 2^455909680 is an apocalyptic number.

455909680 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 455909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557678592).

455909680 is an abundant number, since it is smaller than the sum of its proper divisors (659447504).

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

455909680 is a wasteful number, since it uses less digits than its factorization.

455909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 455909680 is about 21352.0415885695. The cubic root of 455909680 is about 769.6494046802.

The spelling of 455909680 in words is "four hundred fifty-five million, nine hundred nine thousand, six hundred eighty".