452120256 has 252 divisors, whose sum is σ = 1533567672. Its totient is φ = 126959616.

The previous prime is 452120209. The next prime is 452120281. The reversal of 452120256 is 652021254.

452120256 is a `hidden beast` number, since 452 + 1 + 202 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2342496 + ... + 2342688.

It is an arithmetic number, because the mean of its divisors is an integer number (6085586).

Almost surely, 2^452120256 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 452120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766783836).

452120256 is an abundant number, since it is smaller than the sum of its proper divisors (1081447416).

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

452120256 is a wasteful number, since it uses less digits than its factorization.

452120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 452120256 is about 21263.1196206013. The cubic root of 452120256 is about 767.5110820442.

The spelling of 452120256 in words is "four hundred fifty-two million, one hundred twenty thousand, two hundred fifty-six".