451138068 has 72 divisors (see below), whose sum is σ = 1162848960. Its totient is φ = 147438720.

The previous prime is 451138049. The next prime is 451138081. The reversal of 451138068 is 860831154.

451138068 is a `hidden beast` number, since 4 + 511 + 3 + 80 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865648 + ... + 866168.

It is an arithmetic number, because the mean of its divisors is an integer number (16150680).

Almost surely, 2^451138068 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 451138068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581424480).

451138068 is an abundant number, since it is smaller than the sum of its proper divisors (711710892).

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

451138068 is a wasteful number, since it uses less digits than its factorization.

451138068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 451138068 is about 21240.0110169463. The cubic root of 451138068 is about 766.9548976321.

The spelling of 451138068 in words is "four hundred fifty-one million, one hundred thirty-eight thousand, sixty-eight".