451352 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 195360.

The previous prime is 451343. The next prime is 451361. The reversal of 451352 is 253154.

It is an interprime number because it is at equal distance from previous prime (451343) and next prime (451361).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1913 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴⁵¹³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

451352 is an abundant number, since it is smaller than the sum of its proper divisors (516328).

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

451352 is a wasteful number, since it uses less digits than its factorization.

451352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 451352 is about 671.8273587760. The cubic root of 451352 is about 76.7076109798.

The spelling of 451352 in words is "four hundred fifty-one thousand, three hundred fifty-two".