454146816 has 72 divisors (see below), whose sum is σ = 1272349120. Its totient is φ = 143410176.

The previous prime is 454146811. The next prime is 454146821. The reversal of 454146816 is 618641454.

It is an interprime number because it is at equal distance from previous prime (454146811) and next prime (454146821).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (454146811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 30153.

Almost surely, 2^454146816 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 454146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636174560).

454146816 is an abundant number, since it is smaller than the sum of its proper divisors (818202304).

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

454146816 is a wasteful number, since it uses less digits than its factorization.

454146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31161 (or 31147 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 454146816 is about 21310.7206823233. The cubic root of 454146816 is about 768.6561233241.

The spelling of 454146816 in words is "four hundred fifty-four million, one hundred forty-six thousand, eight hundred sixteen".