451666512 has 120 divisors (see below), whose sum is σ = 1384875648. Its totient is φ = 136281600.

The previous prime is 451666493. The next prime is 451666517. The reversal of 451666512 is 215666154.

It is a super-2 number, since 2×451666512² = 408005276124492288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451666517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495337 + ... + 496247.

Almost surely, 2^451666512 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 451666512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692437824).

451666512 is an abundant number, since it is smaller than the sum of its proper divisors (933209136).

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

451666512 is a wasteful number, since it uses less digits than its factorization.

451666512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1240 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 451666512 is about 21252.4472002638. The cubic root of 451666512 is about 767.2542402636.

The spelling of 451666512 in words is "four hundred fifty-one million, six hundred sixty-six thousand, five hundred twelve".