452435328 has 256 divisors, whose sum is σ = 1425715200. Its totient is φ = 141004800.

The previous prime is 452435317. The next prime is 452435329. The reversal of 452435328 is 823534254.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (115200) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 452435292 and 452435301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452435329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392525 + ... + 4392627.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^452435328 is an apocalyptic number.

452435328 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 452435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712857600).

452435328 is an abundant number, since it is smaller than the sum of its proper divisors (973279872).

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

452435328 is a wasteful number, since it uses less digits than its factorization.

452435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

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

The square root of 452435328 is about 21270.5272149047. The cubic root of 452435328 is about 767.6893274682.

The spelling of 452435328 in words is "four hundred fifty-two million, four hundred thirty-five thousand, three hundred twenty-eight".