451583104 has 128 divisors (see below), whose sum is σ = 1136851200. Its totient is φ = 174096384.

The previous prime is 451583071. The next prime is 451583117. The reversal of 451583104 is 401385154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×451583104⁴ (a number of 36 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 349692 + ... + 350980.

It is an arithmetic number, because the mean of its divisors is an integer number (8881650).

Almost surely, 2^451583104 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 451583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568425600).

451583104 is an abundant number, since it is smaller than the sum of its proper divisors (685268096).

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

451583104 is a wasteful number, since it uses less digits than its factorization.

451583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 451583104 is about 21250.4847944700. The cubic root of 451583104 is about 767.2070084531.

The spelling of 451583104 in words is "four hundred fifty-one million, five hundred eighty-three thousand, one hundred four".