453416080 has 80 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 163505664.

The previous prime is 453416071. The next prime is 453416081. The reversal of 453416080 is 80614354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×453416080² = 411172283205132800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (453416081) 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 15 ways as a sum of consecutive naturals, for example, 39651 + ... + 49789.

It is an arithmetic number, because the mean of its divisors is an integer number (14522508).

Almost surely, 2^453416080 is an apocalyptic number.

453416080 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 453416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

453416080 is an abundant number, since it is smaller than the sum of its proper divisors (708384560).

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

453416080 is a wasteful number, since it uses less digits than its factorization.

453416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208 (or 10202 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 453416080 is about 21293.5689822068. The cubic root of 453416080 is about 768.2436383401.

The spelling of 453416080 in words is "four hundred fifty-three million, four hundred sixteen thousand, eighty".