454000 has 40 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 180800.

The previous prime is 453991. The next prime is 454009. The reversal of 454000 is 454.

It is an interprime number because it is at equal distance from previous prime (453991) and next prime (454009).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×454000² = 412232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454009) by changing a digit.

454000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1887 + ... + 2113.

2⁴⁵⁴⁰⁰⁰ is an apocalyptic number.

454000 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 454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304).

454000 is an abundant number, since it is smaller than the sum of its proper divisors (648608).

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

454000 is a wasteful number, since it uses less digits than its factorization.

454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 454000 is about 673.7952211169. The cubic root of 454000 is about 76.8573284342.

Adding to 454000 its reverse (454), we get a palindrome (454454).

454000 divided by its reverse (454) gives a cube (1000 = 10³).

It can be divided in two parts, 4 and 54000, that multiplied together give a cube (216000 = 60³).

The spelling of 454000 in words is "four hundred fifty-four thousand".