455889000 has 256 divisors, whose sum is σ = 1722539520. Its totient is φ = 97996800.

The previous prime is 455888999. The next prime is 455889001. The reversal of 455889000 is 988554.

It is an interprime number because it is at equal distance from previous prime (455888999) and next prime (455889001).

It is a self number, because there is not a number n which added to its sum of digits gives 455889000.

It is not an unprimeable number, because it can be changed into a prime (455889001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356362 + ... + 357638.

It is an arithmetic number, because the mean of its divisors is an integer number (6728670).

Almost surely, 2^455889000 is an apocalyptic number.

455889000 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 455889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861269760).

455889000 is an abundant number, since it is smaller than the sum of its proper divisors (1266650520).

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

455889000 is a wasteful number, since it uses less digits than its factorization.

455889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 455889000 is about 21351.5573202518. The cubic root of 455889000 is about 769.6377674407.

The spelling of 455889000 in words is "four hundred fifty-five million, eight hundred eighty-nine thousand".