454320230400 has 624 divisors, whose sum is σ = 1692617072320. Its totient is φ = 119439360000.

The previous prime is 454320230381. The next prime is 454320230401. The reversal of 454320230400 is 4032023454.

454320230400 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 20 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (454320230401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201829275 + ... + 201831525.

Almost surely, 2^454320230400 is an apocalyptic number.

454320230400 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 454320230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846308536160).

454320230400 is an abundant number, since it is smaller than the sum of its proper divisors (1238296841920).

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

454320230400 is a wasteful number, since it uses less digits than its factorization.

454320230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 454320230400 its reverse (4032023454), we get a palindrome (458352253854).

The spelling of 454320230400 in words is "four hundred fifty-four billion, three hundred twenty million, two hundred thirty thousand, four hundred".