450945419400 has 480 divisors, whose sum is σ = 1791744071040. Its totient is φ = 102969584640.

The previous prime is 450945419371. The next prime is 450945419539. The reversal of 450945419400 is 4914549054.

450945419400 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 454 + 194 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 209448724 + ... + 209450876.

It is an arithmetic number, because the mean of its divisors is an integer number (3732800148).

Almost surely, 2^450945419400 is an apocalyptic number.

450945419400 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 450945419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895872035520).

450945419400 is an abundant number, since it is smaller than the sum of its proper divisors (1340798651640).

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

450945419400 is a wasteful number, since it uses less digits than its factorization.

450945419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 450945419400 in words is "four hundred fifty billion, nine hundred forty-five million, four hundred nineteen thousand, four hundred".