454413200 has 60 divisors (see below), whose sum is σ = 1094836548. Its totient is φ = 181248000.

The previous prime is 454413199. The next prime is 454413203. The reversal of 454413200 is 2314454.

It can be written as a sum of positive squares in 6 ways, for example, as 9709456 + 444703744 = 3116^2 + 21088^2 .

It is not an unprimeable number, because it can be changed into a prime (454413203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158984 + ... + 161816.

Almost surely, 2^454413200 is an apocalyptic number.

454413200 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 454413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547418274).

454413200 is an abundant number, since it is smaller than the sum of its proper divisors (640423348).

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

454413200 is a wasteful number, since it uses less digits than its factorization.

454413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 454413200 is about 21316.9697658931. The cubic root of 454413200 is about 768.8063813937.

Adding to 454413200 its reverse (2314454), we get a palindrome (456727654).

The spelling of 454413200 in words is "four hundred fifty-four million, four hundred thirteen thousand, two hundred".