451450032 has 120 divisors (see below), whose sum is σ = 1349705280. Its totient is φ = 129571200.

The previous prime is 451449961. The next prime is 451450063. The reversal of 451450032 is 230054154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 451449984 and 451450011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108307 + ... + 112397.

It is an arithmetic number, because the mean of its divisors is an integer number (11247544).

Almost surely, 2^451450032 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 451450032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674852640).

451450032 is an abundant number, since it is smaller than the sum of its proper divisors (898255248).

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

451450032 is a wasteful number, since it uses less digits than its factorization.

451450032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 451450032 is about 21247.3535293222. The cubic root of 451450032 is about 767.1316411507.

The spelling of 451450032 in words is "four hundred fifty-one million, four hundred fifty thousand, thirty-two".