454078080 has 192 divisors, whose sum is σ = 1619205120. Its totient is φ = 117135360.

The previous prime is 454078073. The next prime is 454078081. The reversal of 454078080 is 80870454.

It is a tau number, because it is divible by the number of its divisors (192).

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 (454078081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 177289 + ... + 179831.

It is an arithmetic number, because the mean of its divisors is an integer number (8433360).

Almost surely, 2^454078080 is an apocalyptic number.

454078080 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 454078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809602560).

454078080 is an abundant number, since it is smaller than the sum of its proper divisors (1165127040).

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

454078080 is a wasteful number, since it uses less digits than its factorization.

454078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 454078080 is about 21309.1079118766. The cubic root of 454078080 is about 768.6173421700.

The spelling of 454078080 in words is "four hundred fifty-four million, seventy-eight thousand, eighty".