450076400 has 60 divisors (see below), whose sum is σ = 1083385272. Its totient is φ = 179685120.

The previous prime is 450076379. The next prime is 450076439. The reversal of 450076400 is 4670054.

It is a self number, because there is not a number n which added to its sum of digits gives 450076400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350159 + ... + 351441.

Almost surely, 2^450076400 is an apocalyptic number.

450076400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541692636).

450076400 is an abundant number, since it is smaller than the sum of its proper divisors (633308872).

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

450076400 is a wasteful number, since it uses less digits than its factorization.

450076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 450076400 is about 21215.0041244399. The cubic root of 450076400 is about 766.3527973770.

The spelling of 450076400 in words is "four hundred fifty million, seventy-six thousand, four hundred".