452361728 has 240 divisors, whose sum is σ = 1208203920. Its totient is φ = 167215104.

The previous prime is 452361719. The next prime is 452361743. The reversal of 452361728 is 827163254.

It is a happy number.

It is a super-2 number, since 2×452361728² = 409262265918291968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 452361691 and 452361700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6196700 + ... + 6196772.

It is an arithmetic number, because the mean of its divisors is an integer number (5034183).

Almost surely, 2^452361728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604101960).

452361728 is an abundant number, since it is smaller than the sum of its proper divisors (755842192).

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

452361728 is a wasteful number, since it uses less digits than its factorization.

452361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 452361728 is about 21268.7970510793. The cubic root of 452361728 is about 767.6476972100.

It can be divided in two parts, 45236 and 1728, that added together give a palindrome (46964).

The spelling of 452361728 in words is "four hundred fifty-two million, three hundred sixty-one thousand, seven hundred twenty-eight".