451057068 has 288 divisors, whose sum is σ = 1526353920. Its totient is φ = 108864000.

The previous prime is 451057063. The next prime is 451057069. The reversal of 451057068 is 860750154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (451057063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2491938 + ... + 2492118.

It is an arithmetic number, because the mean of its divisors is an integer number (5299840).

Almost surely, 2^451057068 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 451057068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763176960).

451057068 is an abundant number, since it is smaller than the sum of its proper divisors (1075296852).

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

451057068 is a wasteful number, since it uses less digits than its factorization.

451057068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 451057068 is about 21238.1041526780. The cubic root of 451057068 is about 766.9089936769.

The spelling of 451057068 in words is "four hundred fifty-one million, fifty-seven thousand, sixty-eight".