452432016 has 120 divisors (see below), whose sum is σ = 1387109880. Its totient is φ = 137023488.

The previous prime is 452431979. The next prime is 452432017. The reversal of 452432016 is 610234254.

452432016 is a `hidden beast` number, since 452 + 4 + 3 + 201 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 250905600 = 14196^2 + 15840^2 .

It is not an unprimeable number, because it can be changed into a prime (452432017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67806 + ... + 74178.

It is an arithmetic number, because the mean of its divisors is an integer number (11559249).

Almost surely, 2^452432016 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 452432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693554940).

452432016 is an abundant number, since it is smaller than the sum of its proper divisors (934677864).

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

452432016 is a wasteful number, since it uses less digits than its factorization.

452432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 452432016 is about 21270.4493605565. The cubic root of 452432016 is about 767.6874542036.

The spelling of 452432016 in words is "four hundred fifty-two million, four hundred thirty-two thousand, sixteen".