451979002400 has 36 divisors (see below), whose sum is σ = 1103393741562. Its totient is φ = 180791600640.

The previous prime is 451979002399. The next prime is 451979002403. The reversal of 451979002400 is 4200979154.

It can be written as a sum of positive squares in 3 ways, for example, as 294271531024 + 157707471376 = 542468^2 + 397124^2 .

It is a super-2 number, since 2×451979002400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451979002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282486077 + ... + 282487676.

Almost surely, 2^451979002400 is an apocalyptic number.

451979002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451979002400 is an abundant number, since it is smaller than the sum of its proper divisors (651414739162).

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

451979002400 is a wasteful number, since it uses less digits than its factorization.

451979002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564973773 (or 564973760 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 451979002400 in words is "four hundred fifty-one billion, nine hundred seventy-nine million, two thousand, four hundred".