454706080 has 144 divisors (see below), whose sum is σ = 1159197480. Its totient is φ = 168290304.

The previous prime is 454706039. The next prime is 454706093. The reversal of 454706080 is 80607454.

It can be written as a sum of positive squares in 4 ways, for example, as 404975376 + 49730704 = 20124^2 + 7052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8579334 + ... + 8579386.

Almost surely, 2^454706080 is an apocalyptic number.

454706080 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 454706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579598740).

454706080 is an abundant number, since it is smaller than the sum of its proper divisors (704491400).

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

454706080 is a wasteful number, since it uses less digits than its factorization.

454706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 454706080 is about 21323.8383036451. The cubic root of 454706080 is about 768.9715171886.

The spelling of 454706080 in words is "four hundred fifty-four million, seven hundred six thousand, eighty".