455280000 has 320 divisors, whose sum is σ = 1733445120. Its totient is φ = 103680000.

The previous prime is 455279999. The next prime is 455280037. The reversal of 455280000 is 82554.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679865 + ... + 1680135.

It is an arithmetic number, because the mean of its divisors is an integer number (5417016).

Almost surely, 2^455280000 is an apocalyptic number.

455280000 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 455280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866722560).

455280000 is an abundant number, since it is smaller than the sum of its proper divisors (1278165120).

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

455280000 is an equidigital number, since it uses as much as digits as its factorization.

455280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 455280000 is about 21337.2912995066. The cubic root of 455280000 is about 769.2949074725.

The spelling of 455280000 in words is "four hundred fifty-five million, two hundred eighty thousand".