451 has 4 divisors (see below), whose sum is σ = 504. Its totient is φ = 400.

The previous prime is 449. The next prime is 457. The reversal of 451 is 154.

451 = T_{3} + T_{4} + ... +
T_{13}.

451 = 6^{2} + 7^{2} + ... + 11^{2}.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a 4-Lehmer number, since φ(451) divides (451-1)^{4}.

It is a cyclic number.

It is not a de Polignac number, because 451 - 2^{1} = 449 is a prime.

It is an Ulam number.

It is a deceptive number, since it divides R_{450}.

It is a Duffinian number.

451 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 31.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

451 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

451 is the 11-th decagonal number.

451 is the 10-th centered decagonal number.

451 is a deficient number, since it is larger than the sum of its proper divisors (53).

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

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

The sum of its prime factors is 52.

The product of its digits is 20, while the sum is 10.

The square root of 451 is about 21.2367605816. The cubic root of 451 is about 7.6687664906.

Subtracting from 451 its sum of digits (10), we obtain a square (441 = 21^{2}).

It can be divided in two parts, 4 and 51, that added together give a palindrome (55).

The spelling of 451 in words is "four hundred fifty-one", and thus it is an aban number.

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