452008 has 8 divisors (see below), whose sum is σ = 847530. Its totient is φ = 226000.

The previous prime is 451987. The next prime is 452009. The reversal of 452008 is 800254.

It is a happy number.

452008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 432964 + 19044 = 658^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×452008² = 408622464128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (452009) by changing a digit.

452008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28243 + ... + 28258.

2⁴⁵²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

452008 is a deficient number, since it is larger than the sum of its proper divisors (395522).

452008 is a wasteful number, since it uses less digits than its factorization.

452008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56507 (or 56503 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 452008 is about 672.3154021737. The cubic root of 452008 is about 76.7447555542.

The spelling of 452008 in words is "four hundred fifty-two thousand, eight".