452008512 has 280 divisors, whose sum is σ = 1487033856. Its totient is φ = 135032832.

The previous prime is 452008493. The next prime is 452008519. The reversal of 452008512 is 215800254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (452008519) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2026833 + ... + 2027055.

Almost surely, 2^452008512 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 452008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743516928).

452008512 is an abundant number, since it is smaller than the sum of its proper divisors (1035025344).

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

452008512 is a wasteful number, since it uses less digits than its factorization.

452008512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 452008512 is about 21260.4918099276. The cubic root of 452008512 is about 767.4478453102.

Adding to 452008512 its reverse (215800254), we get a palindrome (667808766).

The spelling of 452008512 in words is "four hundred fifty-two million, eight thousand, five hundred twelve".