453808080 has 180 divisors, whose sum is σ = 1675504740. Its totient is φ = 109992960.

The previous prime is 453808021. The next prime is 453808123. The reversal of 453808080 is 80808354.

It can be written as a sum of positive squares in 2 ways, for example, as 336649104 + 117158976 = 18348^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-5 number, since 5×453808080⁵ (a number of 44 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84516 + ... + 89724.

Almost surely, 2^453808080 is an apocalyptic number.

453808080 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 453808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837752370).

453808080 is an abundant number, since it is smaller than the sum of its proper divisors (1221696660).

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

453808080 is a wasteful number, since it uses less digits than its factorization.

453808080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 453808080 is about 21302.7716506562. The cubic root of 453808080 is about 768.4649690887.

The spelling of 453808080 in words is "four hundred fifty-three million, eight hundred eight thousand, eighty".