452358480 has 240 divisors, whose sum is σ = 1678642560. Its totient is φ = 98706432.

The previous prime is 452358449. The next prime is 452358509. The reversal of 452358480 is 84853254.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888466 + ... + 888974.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2^452358480 is an apocalyptic number.

452358480 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 452358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839321280).

452358480 is an abundant number, since it is smaller than the sum of its proper divisors (1226284080).

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

452358480 is a wasteful number, since it uses less digits than its factorization.

452358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 452358480 is about 21268.7206949548. The cubic root of 452358480 is about 767.6458599446.

The spelling of 452358480 in words is "four hundred fifty-two million, three hundred fifty-eight thousand, four hundred eighty".