451360 has 96 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 138240.

The previous prime is 451343. The next prime is 451361. The reversal of 451360 is 63154.

451360 = 37³ + 38³ + ... + 43³.

It is not an unprimeable number, because it can be changed into a prime (451361) by changing a digit.

451360 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 15 ways as a sum of consecutive naturals, for example, 14545 + ... + 14575.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2⁴⁵¹³⁶⁰ is an apocalyptic number.

451360 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 451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376).

451360 is an abundant number, since it is smaller than the sum of its proper divisors (903392).

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

451360 is a wasteful number, since it uses less digits than its factorization.

451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 451360 is about 671.8333126602. The cubic root of 451360 is about 76.7080641791.

The spelling of 451360 in words is "four hundred fifty-one thousand, three hundred sixty".