454414968 has 128 divisors (see below), whose sum is σ = 1449216000. Its totient is φ = 129237120.

The previous prime is 454414967. The next prime is 454414969. The reversal of 454414968 is 869414454.

454414968 is a `hidden beast` number, since 4 + 544 + 1 + 49 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (454414967) and next prime (454414969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454414967) 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, 409198 + ... + 410306.

It is an arithmetic number, because the mean of its divisors is an integer number (11322000).

Almost surely, 2^454414968 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 454414968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724608000).

454414968 is an abundant number, since it is smaller than the sum of its proper divisors (994801032).

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

454414968 is a wasteful number, since it uses less digits than its factorization.

454414968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 454414968 is about 21317.0112351615. The cubic root of 454414968 is about 768.8073784656.

The spelling of 454414968 in words is "four hundred fifty-four million, four hundred fourteen thousand, nine hundred sixty-eight".