451544016 has 240 divisors, whose sum is σ = 1530759168. Its totient is φ = 113299200.

The previous prime is 451543997. The next prime is 451544057. The reversal of 451544016 is 610445154.

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 47 ways as a sum of consecutive naturals, for example, 801751 + ... + 802313.

Almost surely, 2^451544016 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 451544016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765379584).

451544016 is an abundant number, since it is smaller than the sum of its proper divisors (1079215152).

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

451544016 is a wasteful number, since it uses less digits than its factorization.

451544016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 451544016 is about 21249.5650779022. The cubic root of 451544016 is about 767.1848719201.

The spelling of 451544016 in words is "four hundred fifty-one million, five hundred forty-four thousand, sixteen".