451962 has 48 divisors (see below), whose sum is σ = 1190592. Its totient is φ = 120960.

The previous prime is 451961. The next prime is 451967. The reversal of 451962 is 269154.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (2160) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (451961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037 + ... + 2247.

It is an arithmetic number, because the mean of its divisors is an integer number (24804).

2⁴⁵¹⁹⁶² is an apocalyptic number.

451962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 451962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595296).

451962 is an abundant number, since it is smaller than the sum of its proper divisors (738630).

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

451962 is a wasteful number, since it uses less digits than its factorization.

451962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 240 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 451962 is about 672.2811911693. The cubic root of 451962 is about 76.7421520763.

The spelling of 451962 in words is "four hundred fifty-one thousand, nine hundred sixty-two".