454434000 has 320 divisors, whose sum is σ = 1587755520. Its totient is φ = 111513600.

The previous prime is 454433939. The next prime is 454434011. The reversal of 454434000 is 434454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5105956 + ... + 5106044.

It is an arithmetic number, because the mean of its divisors is an integer number (4961736).

Almost surely, 2^454434000 is an apocalyptic number.

454434000 is a gapful number since it is divisible by the number (40) 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 454434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

454434000 is an abundant number, since it is smaller than the sum of its proper divisors (1133321520).

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

454434000 is a wasteful number, since it uses less digits than its factorization.

454434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 454434000 is about 21317.4576345304. The cubic root of 454434000 is about 768.8181114878.

Adding to 454434000 its reverse (434454), we get a palindrome (454868454).

The spelling of 454434000 in words is "four hundred fifty-four million, four hundred thirty-four thousand".