452498480 has 80 divisors (see below), whose sum is σ = 1206619200. Its totient is φ = 154592256.

The previous prime is 452498479. The next prime is 452498507. The reversal of 452498480 is 84894254.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176246 + ... + 178794.

It is an arithmetic number, because the mean of its divisors is an integer number (15082740).

Almost surely, 2^452498480 is an apocalyptic number.

452498480 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 452498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603309600).

452498480 is an abundant number, since it is smaller than the sum of its proper divisors (754120720).

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

452498480 is a wasteful number, since it uses less digits than its factorization.

452498480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 452498480 is about 21272.0116585150. The cubic root of 452498480 is about 767.7250444410.

The spelling of 452498480 in words is "four hundred fifty-two million, four hundred ninety-eight thousand, four hundred eighty".