451170 has 40 divisors (see below), whose sum is σ = 1215324. Its totient is φ = 120096.

The previous prime is 451159. The next prime is 451177. The reversal of 451170 is 71154.

It can be written as a sum of positive squares in 2 ways, for example, as 408321 + 42849 = 639^2 + 207^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (451177) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532 + ... + 1088.

2⁴⁵¹¹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607662).

451170 is an abundant number, since it is smaller than the sum of its proper divisors (764154).

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

451170 is a wasteful number, since it uses less digits than its factorization.

451170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 451170 is about 671.6918936536. The cubic root of 451170 is about 76.6972992481.

It can be divided in two parts, 45 and 1170, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 451170 in words is "four hundred fifty-one thousand, one hundred seventy".