452048256 has 384 divisors, whose sum is σ = 1562803200. Its totient is φ = 128240640.

The previous prime is 452048249. The next prime is 452048257. The reversal of 452048256 is 652840254.

It is a happy number.

452048256 is a `hidden beast` number, since 4 + 520 + 4 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 452048256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452048257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9618025 + ... + 9618071.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^452048256 is an apocalyptic number.

452048256 is a gapful number since it is divisible by the number (46) 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 452048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

452048256 is an abundant number, since it is smaller than the sum of its proper divisors (1110754944).

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

452048256 is a wasteful number, since it uses less digits than its factorization.

452048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 452048256 is about 21261.4264808361. The cubic root of 452048256 is about 767.4703379200.

The spelling of 452048256 in words is "four hundred fifty-two million, forty-eight thousand, two hundred fifty-six".