451967814 has 48 divisors (see below), whose sum is σ = 1047625488. Its totient is φ = 140322816.

The previous prime is 451967783. The next prime is 451967821. The reversal of 451967814 is 418769154.

It is a self number, because there is not a number n which added to its sum of digits gives 451967814.

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, 22069 + ... + 37295.

It is an arithmetic number, because the mean of its divisors is an integer number (21825531).

Almost surely, 2^451967814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451967814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523812744).

451967814 is an abundant number, since it is smaller than the sum of its proper divisors (595657674).

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

451967814 is a wasteful number, since it uses less digits than its factorization.

451967814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15349 (or 15346 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 451967814 is about 21259.5346609468. The cubic root of 451967814 is about 767.4248114300.

The spelling of 451967814 in words is "four hundred fifty-one million, nine hundred sixty-seven thousand, eight hundred fourteen".