455466000 has 320 divisors, whose sum is σ = 1641609216. Its totient is φ = 107712000.

The previous prime is 455465993. The next prime is 455466029. The reversal of 455466000 is 664554.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 4421949 + ... + 4422051.

Almost surely, 2^455466000 is an apocalyptic number.

455466000 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 455466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820804608).

455466000 is an abundant number, since it is smaller than the sum of its proper divisors (1186143216).

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

455466000 is a wasteful number, since it uses less digits than its factorization.

455466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 455466000 is about 21341.6494207922. The cubic root of 455466000 is about 769.3996557384.

The spelling of 455466000 in words is "four hundred fifty-five million, four hundred sixty-six thousand".