454042368 has 288 divisors, whose sum is σ = 1501767680. Its totient is φ = 134369280.

The previous prime is 454042363. The next prime is 454042387. The reversal of 454042368 is 863240454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (454042363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785455 + ... + 2785617.

Almost surely, 2^454042368 is an apocalyptic number.

454042368 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 454042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750883840).

454042368 is an abundant number, since it is smaller than the sum of its proper divisors (1047725312).

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

454042368 is a wasteful number, since it uses less digits than its factorization.

454042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 454042368 is about 21308.2699438504. The cubic root of 454042368 is about 768.5971917572.

The spelling of 454042368 in words is "four hundred fifty-four million, forty-two thousand, three hundred sixty-eight".