454968 has 48 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 147840.

The previous prime is 454967. The next prime is 454969. The reversal of 454968 is 869454.

It is an interprime number because it is at equal distance from previous prime (454967) and next prime (454969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5068 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2⁴⁵⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

454968 is an abundant number, since it is smaller than the sum of its proper divisors (808632).

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

454968 is a wasteful number, since it uses less digits than its factorization.

454968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 454968 is about 674.5131577664. The cubic root of 454968 is about 76.9119136621.

The spelling of 454968 in words is "four hundred fifty-four thousand, nine hundred sixty-eight".