455632160 has 96 divisors (see below), whose sum is σ = 1150511040. Its totient is φ = 170007552.

The previous prime is 455632157. The next prime is 455632169. The reversal of 455632160 is 61236554.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (455632169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 202562 + ... + 204798.

It is an arithmetic number, because the mean of its divisors is an integer number (11984490).

Almost surely, 2^455632160 is an apocalyptic number.

455632160 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 455632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575255520).

455632160 is an abundant number, since it is smaller than the sum of its proper divisors (694878880).

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

455632160 is a wasteful number, since it uses less digits than its factorization.

455632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 455632160 is about 21345.5419233150. The cubic root of 455632160 is about 769.4932067415.

The spelling of 455632160 in words is "four hundred fifty-five million, six hundred thirty-two thousand, one hundred sixty".