451854816 has 192 divisors, whose sum is σ = 1405910016. Its totient is φ = 124416000.

The previous prime is 451854787. The next prime is 451854817. The reversal of 451854816 is 618458154.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451854817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2992341 + ... + 2992491.

It is an arithmetic number, because the mean of its divisors is an integer number (7322448).

Almost surely, 2^451854816 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 451854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702955008).

451854816 is an abundant number, since it is smaller than the sum of its proper divisors (954055200).

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

451854816 is a wasteful number, since it uses less digits than its factorization.

451854816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 451854816 is about 21256.8769107788. The cubic root of 451854816 is about 767.3608506094.

The spelling of 451854816 in words is "four hundred fifty-one million, eight hundred fifty-four thousand, eight hundred sixteen".