451632132 has 96 divisors (see below), whose sum is σ = 1416925440. Its totient is φ = 121443840.

The previous prime is 451632121. The next prime is 451632161. The reversal of 451632132 is 231236154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 451632096 and 451632105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4719 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (14759640).

Almost surely, 2^451632132 is an apocalyptic number.

451632132 is a gapful number since it is divisible by the number (42) 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 451632132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708462720).

451632132 is an abundant number, since it is smaller than the sum of its proper divisors (965293308).

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

451632132 is a wasteful number, since it uses less digits than its factorization.

451632132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35170 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 451632132 is about 21251.6383368436. The cubic root of 451632132 is about 767.2347724561.

Adding to 451632132 its reverse (231236154), we get a palindrome (682868286).

The spelling of 451632132 in words is "four hundred fifty-one million, six hundred thirty-two thousand, one hundred thirty-two".