451794420 has 288 divisors, whose sum is σ = 1756774656. Its totient is φ = 91238400.

The previous prime is 451794391. The next prime is 451794449. The reversal of 451794420 is 24497154.

It is a happy number.

451794420 is a `hidden beast` number, since 45 + 179 + 442 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (451794391) and next prime (451794449).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512380 + ... + 513260.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^451794420 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 451794420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

451794420 is an abundant number, since it is smaller than the sum of its proper divisors (1304980236).

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

451794420 is a wasteful number, since it uses less digits than its factorization.

451794420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 451794420 is about 21255.4562406926. The cubic root of 451794420 is about 767.3266599879.

The spelling of 451794420 in words is "four hundred fifty-one million, seven hundred ninety-four thousand, four hundred twenty".