452405952 has 112 divisors (see below), whose sum is σ = 1387937280. Its totient is φ = 144232704.

The previous prime is 452405911. The next prime is 452405953. The reversal of 452405952 is 259504254.

452405952 is a `hidden beast` number, since 45 + 24 + 0 + 595 + 2 = 666.

It is a super-3 number, since 3×452405952³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (452405953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34053 + ... + 45435.

Almost surely, 2^452405952 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 452405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693968640).

452405952 is an abundant number, since it is smaller than the sum of its proper divisors (935531328).

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

452405952 is a wasteful number, since it uses less digits than its factorization.

452405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 452405952 is about 21269.8366707410. The cubic root of 452405952 is about 767.6727121066.

The spelling of 452405952 in words is "four hundred fifty-two million, four hundred five thousand, nine hundred fifty-two".