454384416 has 48 divisors (see below), whose sum is σ = 1199052288. Its totient is φ = 150662400.

The previous prime is 454384409. The next prime is 454384417. The reversal of 454384416 is 614483454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×454384416² = 412930395007322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454384417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5946 + ... + 30726.

It is an arithmetic number, because the mean of its divisors is an integer number (24980256).

Almost surely, 2^454384416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599526144).

454384416 is an abundant number, since it is smaller than the sum of its proper divisors (744667872).

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

454384416 is a wasteful number, since it uses less digits than its factorization.

454384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24985 (or 24977 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 454384416 is about 21316.2946123382. The cubic root of 454384416 is about 768.7901481577.

The spelling of 454384416 in words is "four hundred fifty-four million, three hundred eighty-four thousand, four hundred sixteen".