451454000 has 80 divisors (see below), whose sum is σ = 1112473440. Its totient is φ = 177132800.

The previous prime is 451453969. The next prime is 451454011. The reversal of 451454000 is 454154.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103871 + ... + 108129.

It is an arithmetic number, because the mean of its divisors is an integer number (13905918).

Almost surely, 2^451454000 is an apocalyptic number.

451454000 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 451454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556236720).

451454000 is an abundant number, since it is smaller than the sum of its proper divisors (661019440).

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

451454000 is a wasteful number, since it uses less digits than its factorization.

451454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 451454000 is about 21247.4469054520. The cubic root of 451454000 is about 767.1338887007.

The spelling of 451454000 in words is "four hundred fifty-one million, four hundred fifty-four thousand".