452352384 has 256 divisors, whose sum is σ = 1485446400. Its totient is φ = 134369280.

The previous prime is 452352377. The next prime is 452352391. The reversal of 452352384 is 483253254.

452352384 is a `hidden beast` number, since 4 + 52 + 3 + 523 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (452352377) and next prime (452352391).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775087 + ... + 2775249.

It is an arithmetic number, because the mean of its divisors is an integer number (5802525).

Almost surely, 2^452352384 is an apocalyptic number.

452352384 is a gapful number since it is divisible by the number (44) 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 452352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742723200).

452352384 is an abundant number, since it is smaller than the sum of its proper divisors (1033094016).

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

452352384 is a wasteful number, since it uses less digits than its factorization.

452352384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 452352384 is about 21268.5773854294. The cubic root of 452352384 is about 767.6424116542.

It can be divided in two parts, 452 and 352384, that added together give a square (352836 = 594²).

The spelling of 452352384 in words is "four hundred fifty-two million, three hundred fifty-two thousand, three hundred eighty-four".