452069280 has 576 divisors, whose sum is σ = 1849236480. Its totient is φ = 99532800.

The previous prime is 452069251. The next prime is 452069281. The reversal of 452069280 is 82960254.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (452069281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11026060 + ... + 11026100.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^452069280 is an apocalyptic number.

452069280 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 452069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

452069280 is an abundant number, since it is smaller than the sum of its proper divisors (1397167200).

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

452069280 is a wasteful number, since it uses less digits than its factorization.

452069280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 452069280 is about 21261.9208915846. The cubic root of 452069280 is about 767.4822356515.

The spelling of 452069280 in words is "four hundred fifty-two million, sixty-nine thousand, two hundred eighty".