454906368 has 200 divisors, whose sum is σ = 1552733952. Its totient is φ = 129890304.

The previous prime is 454906339. The next prime is 454906381. The reversal of 454906368 is 863609454.

454906368 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 0 + 636 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289521 + ... + 291087.

Almost surely, 2^454906368 is an apocalyptic number.

454906368 is a gapful number since it is divisible by the number (48) 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 454906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776366976).

454906368 is an abundant number, since it is smaller than the sum of its proper divisors (1097827584).

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

454906368 is an equidigital number, since it uses as much as digits as its factorization.

454906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 454906368 is about 21328.5341268452. The cubic root of 454906368 is about 769.0844056133.

The spelling of 454906368 in words is "four hundred fifty-four million, nine hundred six thousand, three hundred sixty-eight".