450410043230400 has 336 divisors, whose sum is σ = 1612112333564160. Its totient is φ = 109186666598400.

The previous prime is 450410043230387. The next prime is 450410043230417. The reversal of 450410043230400 is 4032340014054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794916141 + ... + 1795167059.

Almost surely, 2^{450410043230400} is an apocalyptic number.

450410043230400 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 450410043230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806056166782080).

450410043230400 is an abundant number, since it is smaller than the sum of its proper divisors (1161702290333760).

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

450410043230400 is a wasteful number, since it uses less digits than its factorization.

450410043230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284952 (or 284937 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 450410043230400 its reverse (4032340014054), we get a palindrome (454442383244454).

The spelling of 450410043230400 in words is "four hundred fifty trillion, four hundred ten billion, forty-three million, two hundred thirty thousand, four hundred".