452401320 has 192 divisors, whose sum is σ = 1613364480. Its totient is φ = 101144064.

The previous prime is 452401319. The next prime is 452401337. The reversal of 452401320 is 23104254.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 275542 + ... + 277178.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^452401320 is an apocalyptic number.

452401320 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 452401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

452401320 is an abundant number, since it is smaller than the sum of its proper divisors (1160963160).

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

452401320 is a wasteful number, since it uses less digits than its factorization.

452401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 452401320 is about 21269.7277838716. The cubic root of 452401320 is about 767.6700921351.

Adding to 452401320 its reverse (23104254), we get a palindrome (475505574).

The spelling of 452401320 in words is "four hundred fifty-two million, four hundred one thousand, three hundred twenty".