451424064 has 168 divisors, whose sum is σ = 1496677728. Its totient is φ = 119024640.

The previous prime is 451424053. The next prime is 451424101. The reversal of 451424064 is 460424154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 120459 + ... + 124149.

It is an arithmetic number, because the mean of its divisors is an integer number (8908796).

Almost surely, 2^451424064 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 451424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748338864).

451424064 is an abundant number, since it is smaller than the sum of its proper divisors (1045253664).

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

451424064 is a wasteful number, since it uses less digits than its factorization.

451424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 451424064 is about 21246.7424326648. The cubic root of 451424064 is about 767.1169320615.

The spelling of 451424064 in words is "four hundred fifty-one million, four hundred twenty-four thousand, sixty-four".