450372000 has 192 divisors, whose sum is σ = 1589462784. Its totient is φ = 110822400.

The previous prime is 450371959. The next prime is 450372011. The reversal of 450372000 is 273054.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154557 + ... + 157443.

It is an arithmetic number, because the mean of its divisors is an integer number (8278452).

Almost surely, 2^450372000 is an apocalyptic number.

450372000 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 450372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794731392).

450372000 is an abundant number, since it is smaller than the sum of its proper divisors (1139090784).

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

450372000 is a wasteful number, since it uses less digits than its factorization.

450372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 450372000 is about 21221.9697483528. The cubic root of 450372000 is about 766.5205350551.

The spelling of 450372000 in words is "four hundred fifty million, three hundred seventy-two thousand".