452260362528 has 144 divisors (see below), whose sum is σ = 1388505953016. Its totient is φ = 138809548800.

The previous prime is 452260362527. The next prime is 452260362551. The reversal of 452260362528 is 825263062254.

452260362528 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 60 + 3 + 62 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 315381081744 + 136879280784 = 561588^2 + 369972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (452260362527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350726 + ... + 1651962.

Almost surely, 2^452260362528 is an apocalyptic number.

452260362528 is a gapful number since it is divisible by the number (48) 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 452260362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694252976508).

452260362528 is an abundant number, since it is smaller than the sum of its proper divisors (936245590488).

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

452260362528 is a wasteful number, since it uses less digits than its factorization.

452260362528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301667 (or 301656 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 452260362528 in words is "four hundred fifty-two billion, two hundred sixty million, three hundred sixty-two thousand, five hundred twenty-eight".