451290 has 48 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 102816.

The previous prime is 451279. The next prime is 451301. The reversal of 451290 is 92154.

451290 = T₁₄₀ + T₁₄₁ + ... + T₁₇₅.

It is an interprime number because it is at equal distance from previous prime (451279) and next prime (451301).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

451290 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 23 ways as a sum of consecutive naturals, for example, 1317 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2⁴⁵¹²⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016).

451290 is an abundant number, since it is smaller than the sum of its proper divisors (812742).

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

451290 is a wasteful number, since it uses less digits than its factorization.

451290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 451290 is about 671.7812143846. The cubic root of 451290 is about 76.7040985034.

It can be divided in two parts, 451 and 290, that added together give a triangular number (741 = T₃₈).

The spelling of 451290 in words is "four hundred fifty-one thousand, two hundred ninety".