455161200 has 240 divisors, whose sum is σ = 1588648320. Its totient is φ = 110730240.

The previous prime is 455161183. The next prime is 455161241. The reversal of 455161200 is 2161554.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 2542711 + ... + 2542889.

It is an arithmetic number, because the mean of its divisors is an integer number (6619368).

Almost surely, 2^455161200 is an apocalyptic number.

455161200 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 455161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794324160).

455161200 is an abundant number, since it is smaller than the sum of its proper divisors (1133487120).

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

455161200 is a wasteful number, since it uses less digits than its factorization.

455161200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 455161200 is about 21334.5072593674. The cubic root of 455161200 is about 769.2279888105.

The spelling of 455161200 in words is "four hundred fifty-five million, one hundred sixty-one thousand, two hundred".