451471104 has 432 divisors, whose sum is σ = 1640432640. Its totient is φ = 121927680.

The previous prime is 451471099. The next prime is 451471109. The reversal of 451471104 is 401174154.

It is an interprime number because it is at equal distance from previous prime (451471099) and next prime (451471109).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451471109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10499307 + ... + 10499349.

Almost surely, 2^451471104 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 451471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820216320).

451471104 is an abundant number, since it is smaller than the sum of its proper divisors (1188961536).

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

451471104 is a wasteful number, since it uses less digits than its factorization.

451471104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 451471104 is about 21247.8493970566. The cubic root of 451471104 is about 767.1435765775.

The spelling of 451471104 in words is "four hundred fifty-one million, four hundred seventy-one thousand, one hundred four".