451408 has 20 divisors (see below), whose sum is σ = 887220. Its totient is φ = 222464.

The previous prime is 451397. The next prime is 451411. The reversal of 451408 is 804154.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 399424 = 228^2 + 632^2 .

It is a congruent number.

It is an unprimeable number.

451408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1582.

It is an arithmetic number, because the mean of its divisors is an integer number (44361).

2⁴⁵¹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

451408 is a deficient number, since it is larger than the sum of its proper divisors (435812).

451408 is a wasteful number, since it uses less digits than its factorization.

451408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 451408 is about 671.8690348572. The cubic root of 451408 is about 76.7107832626.

The spelling of 451408 in words is "four hundred fifty-one thousand, four hundred eight".